Physics-
General
Easy
Question
A solid sphere of mass 2 kg is resting inside a cube as shown in the figure. The cube is moving with a velocity
. Here t is the time in second. All surface are smooth. The sphere is at rest with respect to the cube. What is the total force exerted by the sphere on the cube. (Take g = 10 m/s2)
![](data:image/png;base64,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)
- 29 N
The correct answer is: ![26 N](data:image/png;base64,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)
\ ![stack a with rightwards arrow on top equals a subscript x end subscript stack i with hat on top plus a subscript y end subscript stack j with hat on top equals 5 stack i with hat on top plus 2 stack j with hat on top](data:image/png;base64,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)
![stack F with rightwards arrow on top equals m a subscript x end subscript stack i with hat on top plus m left parenthesis g plus a subscript y end subscript right parenthesis stack j with hat on top](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKkAAAAaCAYAAADMi3z0AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAATRJrTQAAAA+RJREFUeNrtW1FIFEEYHkQkRAKpEBHpJUQiRBARCekleogSCSJ8iB4EiZCIXiRCIkSQCB8igohQkQhCoocQISJEQoIQiYw4kOohQgQfQiQu4fp/7jta1pl19mZ23b2dDz68m729me/b2fn//ecUIhiTxDqRHRwWDqnz/wkxR+zKgEGDxL/465BA/68RCwHcIbZUqDm1xCniKvE8/k6h3SEF/vNKukbsrFCDjsOUSY8ptXi/iuMOCfe/knNSNuM78YriOLd/cyuq8z8JRpkcjxuclo2n1OtxjD/N/jvsgTbiUso1vIcOK/gjeXjKE6syMBm2E6qTL3B7yr3tIC7a8P8YcSWjqxVr/5TAcbVjklYCFjFZjfzvIz5z0VULhZj6uUccSrmGEq7byKvvEIdjGnCprwbiA+I68RfxLI7XEyeIm8TfxFu+8zks3MV5eUSAozFqL8SkdZ7YE/BwwZN4A2naLPFhCB1hNNjwu5v41tT/F1hNw1yovRjUFw/sI7GfWA3RXHpoJC4QL6G9GRehwXP+a1zwehgYduw2tIf57nK18qStkXxnNc4bxmvmTVHcfOmLQIMNv2ugx8j/nGSSNUW0kuZwV9X72n+K4kaCrL0Rr/shyotpz8pU7niaIpqkJlp3FN85QhxT9NVoWYNNv/Mm/vPdsRVTqK/Ck1xtyPYS3iF0eLFgEO79328zaphqVU1SThcOhbyG5Wqw6XdeERW2dU7uCsgXbIvugvBy2/2lCtMbTNWvjVXIVKss3KvKOWF16Gqw5bcq3HfrjpuX9MmYVlJVX7rtG77jJ4nLEYzHVqg00foG+ry4QJyxoENXgy2/VQ9O2uPmpHggpknKfQ0atHPOdsCXn80ajmcgoklqqlVWguolPpecOxNSh64GW34PQY+uF7vw0vDBIwxUfem2jxIfI+xwXsS13TlFXxwW2zxhal6SS5WjvRCTVlkx/yBKQe2ez8xiMp2KQIOu3z8kD4EM3tJtFepi/itd/zd9d0uUUPUVpv02njhHcGxdUcI451l1JhAq49RuQ+uS2L3v3YtJkUdp6wzCclTbujp+T0v8HcY5Qduicc69fcWRgGNceL6Bck8aofMDkxOKFCBOv7nW+8jznrc6P+DGUf3ApAHlp8yDc56vQl4UTwuuiv9biq2YDKV6aCcmQes+j5HH89lXpupAHirLOXny3hfFTYhM4zRWmC97rLZpQh1uvC2Uh+awkiYBOeSl/PvRMcVnLovirtqWSO9vZK2hGXdzHUwbdUElcjxFarWclTzTBDVI1Fs879dEtv5Nez9wEatkj7PCIakY9D08OTgkLr1asRmt/gHNU0wzjc8fLQAAAWt0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW92ZXIgYWNjZW50PSJ0cnVlIj48bWk+RjwvbWk+PG1vPiYjeDIxOTI7PC9tbz48L21vdmVyPjxtbz49PC9tbz48bWk+bTwvbWk+PG1zdWI+PG1pPmE8L21pPjxtaT54PC9taT48L21zdWI+PG1vdmVyIGFjY2VudD0idHJ1ZSI+PG1pPmk8L21pPjxtbz5ePC9tbz48L21vdmVyPjxtbz4rPC9tbz48bWk+bTwvbWk+PG1vPig8L21vPjxtaT5nPC9taT48bW8+KzwvbW8+PG1zdWI+PG1pPmE8L21pPjxtaT55PC9taT48L21zdWI+PG1vPik8L21vPjxtb3ZlciBhY2NlbnQ9InRydWUiPjxtaT5qPC9taT48bW8+XjwvbW8+PC9tb3Zlcj48L21hdGg+x0YPOQAAAABJRU5ErkJggg==)
\ ![vertical line stack F with rightwards arrow on top vertical line equals m square root of a subscript x end subscript superscript 2 end superscript plus left parenthesis g plus a subscript y end subscript right parenthesis to the power of 2 end exponent end root equals 26 N](data:image/png;base64,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)
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/860971/1/1184904/Picture8101.png)
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Physics-
A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by
![](data:image/png;base64,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)
A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by
![](data:image/png;base64,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)
Physics-General
Physics-
The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle
should be
![](data:image/png;base64,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)
The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle
should be
![](data:image/png;base64,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)
Physics-General
Physics-
In the arrangement shown in figure the ends P and Q of an unstretchable string move downwards with uniform speed U. Pulleys A and B are fixed. Mass M moves upwards with a speed
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)
In the arrangement shown in figure the ends P and Q of an unstretchable string move downwards with uniform speed U. Pulleys A and B are fixed. Mass M moves upwards with a speed
![](data:image/png;base64,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)
Physics-General
Physics-
A vessel containing water is given a constant acceleration a towards the right, along a straight horizontal path. Which of the following diagram represents the surface of the liquid
![](data:image/png;base64,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)
A vessel containing water is given a constant acceleration a towards the right, along a straight horizontal path. Which of the following diagram represents the surface of the liquid
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWEAAACGCAYAAAAMyTtZAAAgAElEQVR4nO29d1xUV/7//5qZO73QB5AmRUCUooggIjYkKvYaexI10ZjsJpuyfjb7MabsJpt83I0lG3UTddWoGwuia41GbBELikqHEREQEJEyw1Cm3N8f/uZ+ud4ZpA/E+3w8fDySed9h7nmf9zn33HPehUOSJAkWFhYWFqvAtfYNsLCwsLzIsJMwCwsLixVhJ2EWFhYWK8JOwiwsLCxWhJ2EWVhYWKwIOwmzsLCwWBF2EmZhYWGxIuwkzMLCwmJF2EmYhYWFxYqwkzALCwuLFWEnYRYWFhYrwk7CLCwsLFaEnYRZWFhYrAg7CbOwsLBYEXYSZmFhYbEi7CTMwsLCYkUISwKSJGEwGGA0GhkyPp8PDofTpTfW0zAajTAYDHg2Bz6XywWPx7OoD1aPdIxGI/R6PeNzLpcLgrBojhYxGAwwGAyMz3k8Hng8XrvusbdiyUY5HA4IgmjR1vR6vVkbJQgCXO6Lt1Zr73hvDxatXqvV4vTp07hz5w5DtmTJEvTt27fTbqI3kJ6ejtOnT6Ouro72eUBAABISEiCXy81+r6qqCqdOnUJubi5D9vrrr8PV1bVL7renkpqailOnTjEmzsGDB2Ps2LGQSCRt+nvJycm4dOkS4/MJEyZg8ODB7ZrYeysPHjzA6dOnUVpaSvvczs4OCxYsgIODg9nv6fV6nDp1Cjdu3GDIZs2ahaCgoBdusdDe8d4e2vWI02g0nXYDvQGdTgedTsd4KnaUF02PTU1N0Ol03fJbWq0WVVVVnd5nPRWDwYCmpiazq9mOUFdXh6qqqk79mz2drhrvlrC4TCAIAp6enrRXEZVKBbVajevXr2PgwIHdcoM9AZVKhby8POh0OgQHB9Nec11dXcHn8y1+VygUwsfHh7bCy87ORkNDA65fv45+/fp16b33JDIzM1FQUACSJBEWFkaTeXh4tGvV6urqyvhbRUVFyM7ORmlpKWbNmtVi//xWKC8vR0ZGBurq6uDr60tbqUmlUgiFQovf5XK58PDwYGwTqVQq3L59G/fu3cPLL7/cZffe0+jIeG8PFq1eKBQiPDwc4eHh1Ge7d++GWq3GgwcPOvUmejp5eXnIyckBACQkJLRo0M8ilUoRGRlJ+6ykpAQNDQ0vnB7T09OhUqkAAFOnTu2UvxkUFISgoCDaZ0ePHsXNmzdRXl7e6SvDnkpZWRm1dTht2jT4+vq2+rtcLhchISEICQmhfb57926qv14kOjLe28OLt+POwsLC0oNgJ2EWFhYWK8JOwiwsLCxWhJ2EWVhYWKwIOwmzsLCwWBF2EmZhYWGxIuwkzMLCwmJF2EmYhYWFxYqwkzALCwuLFWEnYRYWFhYrwk7CLCwsLFaEnYRZWFhYrEib01bdunUL586dw7ffftsV99Mj4XA4mDx5Mjw8PKx9K72W+vp63LhxAxqNBu7u7l3+e5mZmWhsbDSb8J2l9Wzbtg0ODg4YPnw44uLirH07XUpDQwNSU1Oxd+9ePHz4kJF4q6to8yQ8aNAgDBo0CIsWLeqK++mRXLlyBfn5+da+jV4JSZIoKSnBV199heTkZMTGxnZLgnAXFxecPXsWy5Ytw7/+9S+IxeIXskJER1m4cCEyMzPx8ccf46233sJLL72EyZMnIzw8HDKZDFwuF1wut1clfSdJEkajEUajETqdDufPn8exY8dw7tw5EAQBPz8/REREtLnAQHtpd9mB6upq1NTU0D6zs7ODXC4Hh8NBTU0NqquraXKFQgFbW1twOByo1WpG0m2pVAoHBwdwOBwqmXTzlYxIJIKTkxO4XC7q6+vx5MkTWg5UPp8PFxcX6PV6VFVVoaGhgfb7Hh4e4HK50Ov1ePLkCerr62lyNzc3EAQBg8GAqqoqKqt+ZWUlDAbDC1cup6PU19fj2rVrWL9+PXQ6HeLi4jq1IkFLSKVSjBs3DoWFhYiMjMRXX32F2NhYyGSybvn93woCgQBhYWFISEhAWloafv31V7z11ltQq9UYNmwYhg8fjsGDB8PLywsikYj6JxAIesRDjyRJ1NfXo7KyEo2NjSBJEnl5ebhy5QqVslKpVCIgIADvvvsuvL29kZGRgcePH3fbPbZ7Ej516hSSkpJony1atAjjxo0DQRA4f/489u3bR5NPmjQJs2fPBp/PR0pKCnbv3k2rtBATE4OlS5dCKBTi1q1b2L17N2prayl5UFAQ3n//fYhEImRlZWHXrl0oLy+n5H369MGnn36KR48eYffu3cjMzKT9/pYtWyCXy1FZWYndu3cjNTWVJv/mm2+gVCpRV1eHn376iSqbQxAEwsPDYW9v3151vVCQJInHjx8jKSkJ27dvh06nA5fLRXV1NYYNGwapVNrl91BcXIzr169DoVBAJpPhiy++QF5eHmbNmgVXV9ceMUH0Jn7++WdqvNva2sLW1hZOTk4oLi7GmTNnYDQa4erqCk9PT/Tt2xd9+vSBra0tJBIJxGIxpFIpJBIJJBJJl5Wc0ul0qKurg0ajgVarpf779u3b2LdvH8rKyiCXy6n8wIsWLcK7774LoVCI3bt34/vvvwfQ/eOdQ7ahhkfzJM+m7Yi6ujqkp6ejrKyMdm1oaCj69u2LxsZGpKeno7i4mCYPCgqiEk+np6ejoKCAJvfz84O/vz/4fD4yMzORl5dHk3t6eqJ///4QiUTIy8tjTLiurq4YMGAApFIpCgoKkJ6eTkvw7eDggJCQECgUChQVFSE9PR1NTU2UXKFQIDQ0FPb29rTtiNWrV3c4yfM///lPVFRUQCgUYvXq1R36Wz2Ru3fvYs+ePThw4ACmTp2K5cuXg8/n4+zZs3j48CEA4OOPP+6y3zcldQeAl19+GVwuF4mJidi2bRuGDx+O5cuXIzQ0FGKxuMvuobu5efMmjh49CuDpFkJbkrpboi3j3fRgy8vLw4kTJ3D79m3I5XK4urrCxcUFQUFBcHNzg0KhgFgsZuzVe3p6ws/PD1KpFLm5uSgvL4ednR1sbW0hk8movmpsbMT9+/dRWFhI+z6Hw0FDQwOqqqqo8VxcXIxHjx6BIAhERkZi6tSpGDRoEDQaDTIyMrptvD+PDj+SdDodHj58yNgzNRUCNRgMKCsrYxS6dHFxga+vL0iSxKNHjxhyW1tb+Pn5AQAeP37MkAuFQqo00JMnTxhykiTRr18/SKVSVFdXIy8vj9bxHh4eCAgIAACo1WqoVCra9oSjoyMlZ2kdTU1NOHfuHPbt2wcej4e4uDj4+Pj0iGKbtra2GD16NBoaGrBlyxaMGTMGkydPhq2trbVvrVfR0ngPDQ1FUFAQFAoFgoODaXKxWIzq6moUFBSgtrYWlZWVqK6uhkajQX19PXx8fBAcHAyRSITLly8jJycHjo6OcHZ2hoODAxwcHKitJNOiTCAQQCwWw9bWFvb29tR1Dg4OCAgIgL+/P/X7Hh4eCAkJgb29PcrKynrUeO/w6LC1tcX06dMtyiUSCRISEpCQkGDxmri4uBZPXmNjYxEbG2tRHhkZ2eJJpukw0RLmSuSwtI2SkhLs2rULeXl5CA0NRVxcXLcdbDwP0wMhLi4OGo0GV69excWLF1FcXIxFixbBzc2tVx0sWZPOGO9arRa1tbWora2FVqtFfX09Ghoa0NDQgMbGRsTHx2P06NFUyXkOhwOCICCTySASieDv7w+hUAiBQAChUAgbGxvY2Ni0+vC1p433dk/Chw8fxokTJ2ifzZkzB6NGjQKPx8PJkyeRmJhIk8fHx2PKlCng8/k4f/48fvrpJ9rBWmRkJBYuXAiBQICrV69i//79UKvVlDwgIABvvvkmRCIR7ty5g59++gkVFRWU3MXFBatXr0ZFRQUOHDhA1YkysW7dOshkMlRUVGD//v24ffs2Tf6Xv/wFjo6OUKvVOHDgAFJSUijZgAEDYGdn1151/aZJS0vD999/jzt37qCoqAjFxcXo378/bG1taXomSRLh4eHdMjnfv38ft27dwsWLF0EQBEaOHIm5c+fiyZMnuHHjBn755Re4uLjg9u3bePvttzF8+PAuv6feTHeM92PHjrV7vG/ZsqXXjvd2T8LDhg2jtgtMND/wCA8PZ/iDOjo6Uq+mwcHBcHR0pHlH2NraUvKAgAAsW7aM1mlSqRQCgQAA4O3tjcWLF9P2dUxPRycnJ0yfPp3ybjBh2leysbFBQkICY3WtUCio68aNG4eIiAgAQFZWFs04WJ6i0+lw8uRJ7N27F2FhYZg6dSoaGhrA4XDQp08f8Pl8mp7T0tIYFX27CmdnZ0RHRyMuLg58Pp86ZHFycsKcOXOQkJAAqVSKmzdv4oMPPsCrr76K5cuXd8u99UbY8d51tHsSdnZ2hrOzs0W5k5MTnJycLMrt7e1bPH00ncBaQi6XW3R3EovF8Pb2tvhdgUAALy8vi3KCIODu7k4ZlVqtZv2En6G6uhrff/89zp49i1mzZiEqKsrsQVdzPZeXl1MHc12NWCyGWCzGgAEDaCXKn7UNd3d3hIaGYv369bh79y7WrFkDR0fHbrnH3gQ73ruODvvpPHjwAG+++SYCAgJo/3766ScATw/NPvzwQ4Z869at0Ov1aGpqwqeffsqQf/3119TT6O9//ztD/uc//xmPHj0CAGzdupUhf+utt6gT1D179iA4OJgmX7RoEfX6cuTIEURHR9PkU6ZMQVpaWkfV85uktLQUH3zwAS5fvoz33nsPo0ePhlgsfq6erYUlG/vb3/6G+vp6+Pn5Yd26daivr8eMGTNw9epVtMFp6IWCHe+dT7td1KZMmULz4QVAuZNwOBzU1tYygjnkcjlsbGzA4XCg0WhQVVVFk0skEtjb21PBGtXV1TS3MqFQCCcnJ3A4HNTX16O6upr2+kIQBJydnaHX61FdXY3Gxkba33dzc6OCNaqrqxnBGq6uriAIAkajEVVVVdBqtQCAO3fuoKKiAjwe74V2UWtoaEBWVhY+//xzuLu745VXXoFIJEJVVRXN39u0HWE0Gml6vnr1Kurq6sDlcrvcRS0lJQVarRYJCQng8/mQyWSws7NDU1OTWdtwdXWFTqfDf//7X1y4cAFLlizBhAkTKHvu6XS1ixo73ruOdm9HnDhxwmywRnx8PAiCoFyVmjNp0iTMmTMHfD4fV65cwc6dO2lKjYmJwbJly6hgjV27djGCNT744AOIRCJkZmYygjVcXV3x+eefo7y83GywxtatW6lgjV27djGCNdavXw+lUgmNRoN9+/bRgjWGDBnywgZrGAwGlJSU4PTp0zh8+DBmzZqFoUOH0vrh/v371PUikQibNm2CRqOh6ZnP5yM6OrpbgjWKiopw7do1XLp0CQRBYNy4cXjllVdQUlJi1jY2btwIR0dHzJgxA76+vjhy5Ahyc3Mxc+ZM9OvXr0e42VkTdrx3HR0O1ngReJGDNRobG6noxZqaGsydO7fd7j3WCtZovifcWu7fv499+/aBy+Vi9uzZlBdAT6W7gjVeBHpdsEZtbS2uXLnCiGCJjY1FYGAg6uvrkZKSwoh4Gzp0KEJCQkCSJFJSUpCRkUGTh4aGYtCgQRAIBLh27RpjvyYwMBBDhgyBRCJBWloarl27RpN7e3sjMjISCoUCmZmZuHLlCi1Yo0+fPoiOjoa9vT3y8vKQkpJCe12xt7dHbGwslEplh/TTm6mpqcGpU6dw6dIlKBQKDB06FJcuXaJWDEDb9GwtDAaDWRsLCQnB4MGDLdpYQEAANBoN9uzZgwcPHmDy5Mkv/KEdO947nw5PwhwOB3w+n/G0MLmuWJI3X1UQBMGQN3/9e56cx+OZlZv28kzy5p3C5/NpcoFAQNuPEggEvWIvsCswGAxQqVQ4cuQI8vLyEBUVhfDwcBQUFHRIz9akPTamVCoxbtw45Obm4uTJk7h48SLefvvtFgN/fuuw473zYbcjWsGLtB3R1NSElJQU7Nq1CwqFAnFxcfD29qb8NTtCb9qOeJbi4mIcO3YMRUVFmDt3LqZMmdIjHi4m2O2IzqPXbEfs3r0bBw8epH322muvYcKECSAIAocOHcKuXbto8mnTpmHevHkQCAQ4ceIElWHLxMiRI7Fy5UoIhUKcP38e27dvp524Dhw4EH/6058gFotx/fp1bNu2jZZIxM3NDV999RXKysqwfft2pKen035/586dkMvlKCsrw7Zt23D9+nWafPPmzXB2dkZNTQ22b9+O8+fPA3h6ShsVFQUHB4f2qqtXoNfrkZSUhB9//BGxsbEYMWIEVCoVfv/735vVs0QiQXp6OrZv34579+5RcrFYjK1bt0Kj0dD0LBaLMWLEiG5JJ2l65Tx48CAIgsD48eOxbNky3Lt3z6xtbN26FU5OThZt45tvvsHChQuRlZWFn376CdnZ2Xj11VdfmO0qdrx3He1eCc+YMYMRoSKTyaiQVK1WC41GQ5NLJBJIpVLK5USj0dD8MUUiEZWPuKGhARqNhvHKYHJ5aWxshEajob1yEAQBOzs7GAwGaDQaWnQN8DSCh8vlUvJnXVocHBzA4/FgNBqh0WiofMRpaWkoLS0Fl8s1+2Rct24d1q1bBwB44403kJ+fzzDI5vTElXBtbS2++OIL3L59GytXrkS/fv0gEAha1DOHw4FOp4NGo2G4qDk6OlJ6NOn5ypUrqKmpAYfDMbsSfv/997Fnzx4AwAcffID09HT88MMPbW7L0aNHcfXqVTQ1NVFhs2KxGDKZDHq93qxtmPrekm3Y29tT7kwFBQX44YcfKFe7npDoqTUr4T179uD9998HAMybNw81NTXYuHGjxWxy7Hinj/fk5GTMnz8fACjXxz/96U8drhTT7mANqVQKpVKJhoYGrFmzBjExMQgLC4O/vz/8/f1x9OhRKJVKEASBr7/+GjExMRg8eDCV3WjXrl1UqrrvvvsOMTExGDJkCCXfsGEDhEIhlEoldu3ahZiYGAwdOpSSf/rppzAYDFAqlUhMTERMTAyioqIQEBCAoKAgfPTRR6ivr4dSqcSZM2cwZswYBAYGwt/fH/3798eqVavw5MkTKJVKXLlyBVOmTEH//v3h7++PwMBAzJ8/Hw8fPoRSqYRcLreYGOT777/HqVOncPLkSdy8eRN79uyhZW/q6ZAkiczMTMTHx+PIkSM4ffo0pk+fjoEDBz5Xz/7+/njnnXdQW1tL0/Pw4cMREBDA0LMln1uSJLF27VoUFhbi119/xbVr17BmzRqEhIS0u118Ph9SqRROTk6wsbHBunXr4O/vj6CgIAwdOhQxMTHYtm0bRCIRlEolvvnmG8o2IiIiEBMTg3/84x8gSRJnzpyhbDswMBATJkxAdnY2dDod/vCHPyAlJaXHl1E6efIk1q9fjwMHDuDOnTu4ceMGbGxsWu3x8aKP9/T0dKxYsQLbt29HRkYG1Go1mpqaIBKJOtw37J5wK7C0R6RSqfD5558jIiICb775JgwGA8aPH4/XXnsN8+bNs/j3esJKmCRJaDQaHDx4ENu2bUN8fDz1lO8qLO0J37p1C19++SXmzJmDmTNnwmAwIDQ0FF988QUmT57c5t/pij1hS/zyyy/Yu3cvZs2ahblz51rNC6SllXBFRQU+/vhjODk54ZNPPoHBYMArr7yC6OhoLF++3KIPNDveQY3Pjz76CGq1Glu2bIHRaMTq1athZ2eHVatWUTko2ku794RLSkpQWlpK+8zDwwNKpRIcDgdlZWWMRO4uLi7o06cPuFwuKioqUFRUxEi07uXlBS6Xi8rKShQXF9Nec+VyOfz8/MDj8VBdXY2ioiLaK4ZIJEL//v3R2NiIoqIiRhKOsLAwEARByZ8tvxQcHAyhUAi9Xo+ioiJUVlYCeOoz2tTUxDicevLkCWpraymDz8/Px7179zB48OC2qrNb0el0KCgowP79+3Hu3DmMHDkSfn5+uHHjBoDW65nH40GtVqOoqIiKNgKenj4HBwfDYDDQ9FxUVETJm/Pw4UNwuVy4ubkBeJov9v79+xgyZEi722iKwEpNTQWfz4eTkxM8PT2h1WrN2kZISAi1/WLONgYMGACxWMywDYVCgZiYGOzevRu5ublYsWIFfH19e1RwR11dHYqKijBy5EgAT0OP8/PzsXTp0lavhF/k8a7X65Genk6l8CwtLUVubi7mzJnTKRkB220pt27dws8//0z7bPr06XB0dASPx0N6ejr1ZDYxduxYODs7g8vlIicnB4mJibQImiFDhsDNzQ0CgQAFBQVITEyk7TP169cPffv2BY/HQ3FxMQ4fPkyrBaVUKuHr64snT57g9OnTjCQc/fv3B0EQUKvVOHfuHGMjf82aNRAKhWhoaMDly5epjXy9Xo/AwEDGJKzT6aDX6yEQCPDkyRPs3buXCtntqdTV1SElJQWHDh2CQCDApEmTkJKSQvPLbK2exWIxysvLcezYMdoAFAqFCAgIgFarpelZr9cjJCSEYbhNTU0gSRICgQCPHj3C9u3bYWdnB1dX13a3s7KyErdv30ZJSQkIgkBMTAw8PT0t2sbatWshEAgs2sbq1ashFosZtmHirbfeQlpaGj7//HPMmjULI0aM6DERlgaDAY2NjRCJRKipqUFSUhLUajVcXV1b7eHxoo93rVYLiUQCjUaDU6dOoaioCH369OmUh22HtyNqa2tx9epVhvN2TEwMAgMD0dDQgJSUFIaCIiIiEBwcDJIkcfXqVUbIYUhICMLCwiAQCHD9+nVGLtCAgAAqN+3t27cZg6Jv374YOnQoFAoFsrKyGPt2rq6uGDZsGOzt7ZGfn4+UlBRaYVB7e3vExMRQe0iWtiO+/PJLGI1G9O3bF6mpqbCxscGWLVta3Cuy1nbEkydPkJiYiB07dqC2thbDhg1DTEwMwsPDIRQKu1zPlrYjbt68iX/84x+wsbGBk5MTUlJS4ObmRtX8aivmyhuZs7Hg4GAqQMBc2/39/TFkyBAUFhYy2uXi4oJhw4bBwcGBZj/JyckQCASIj4/HnDlzGOkfu4rnbUd8+umnqKysRFBQEO7evUvt3ba0YGDHO307QqVSISIiAtnZ2WhsbMSaNWswYMAAi/prLZ0SrMHlchmvNc03trtazuFwOkXe/JrWlPF2d3fHkiVLcOPGDTg4OGD06NEQiURdugfZXjIzM7Fjxw5oNBqMHTuWMtDu1LMlAgMDsXjxYmRkZMDZ2RkvvfRSp7/Od8TGzLWLx+NR9tHcfsaNGwd3d3dkZGRg8+bNmD59OiIiIjrFz7q92NnZ4dVXX8WFCxdga2uLESNGQCqVtitp+Ys43gUCAZYuXYpTp05BLpcjKioKCoUCHh4eZq9vK+zBXCvo7cEax48fx7Zt2xAYGIixY8fC3d3dKnkQenOwRlsgSRKVlZW4fPkybt26hZEjR2LWrFmwsbHpst9kgzU6j14TrPHjjz+add4eP3485by9e/dumnzatGl4+eWXIRAIcPLkSbPO2ytWrIBQKMSFCxcYztvBwcHU3tz169exY8cO2mGBm5sb/va3v6GsrAw7duxg7AH9+9//ppy3d+zYwYg//+677yjn7R07dtCctyMjI3tdsEZ9fT3Wr1+Pw4cP4/bt20hLS8Px48cRHx+P119/HQA6pGeJRIKMjAzs2LGDGqzA06CMLVu2QKPR0PQsFosRExPTLcEaplfOQ4cOUcEaS5cuxb1798zaxpYtW6hgDXO28c0338DT05NhGyY+/vhjhISEQK/XY8eOHThx4gTq6+tRVlaGlJQUqFQqvP/++z1mn7itsOO962j3SthcORG5XA6xWEzlBzXnvG3yFdVqtYzTTJFIBIVCQTlvq9VqhvO2ra0t5bytVqtp+z48Hg8ODg4WHfKdnJwo5221Ws1w3jYdMhiNRqjVaobzdm/KJ5yfn4+1a9dCKBRizpw5NDcasVhM/X9H9MzhcNDU1AS1Wk07cDEFa5AkSdOzKVijO/IJX716FY2NjZg8eTL4fD4kEgnkcjkVXGLOsd8UrGHONhwcHKhgjea2YcLOzg4CgYBqc/PkMA0NDTh48CBKS0vx17/+tUuCO7p6JcyO966j3SthmUxGrWiencdJkoRUKqXyxpqTSyQS6pTcnFwkEtEOt5pfYzpJb57RqrmcIAiq856VkyQJLpdLReKYk3M4HCgUCur1UaFQUFn924JarcapU6fg6uqK6Ojobsk10NjYiGPHjuHvf/87oqOjsXDhQrP9ZPrvjuiZJEnw+XzaiqG5nMPh0PQsl8vbVbvr0aNHSE5Ohr+/P0JDQ1ulRz6fDz6fD2dnZ/D5fJAkCZIkKdsw3V9zmttG8zaYZM1twzR5NP+uqe2mUjzN5e+++y7279+PmJgYbNq0CXPnzm2zHrqKxMREcDgcTJ061aJu2fHeMnq9HkeOHIFMJsO4cePaNNY7fPpRUlKCjRs30tIbAsCHH36IKVOmoLq6Ghs3bsSpU6do8hUrVuDll18GSZLYuHEjDh06RJPPnz8fixcvhkwmw5YtWxhhwJMmTcKyZcvg6OiI3bt3Y/PmzTS5KS7d3d0diYmJ2LBhA+1VaNCgQXjnnXfg6+uL06dPY+PGjbTM/76+vvjwww87dPopl8sRERGB//u//8P27dvx6quvIjg4mPa07yxIkkR1dTWOHj2K/fv3o1+/fjhz5gx2796NEydOQCQSWV3P7UWpVCIoKAjffPMNxGIxXnvtNfj5+bW66oVOpzPb9pdffhmvvPKKxbYnJCRg+fLluHjxIqNdYWFh+P3vf49+/fqZtR8fHx988MEHCA4OxuXLl7FhwwaUlJTgiy++wDfffIOsrCz87ne/a1PUWleRkJCAv/71r/j3v/+NV155BbGxsRbrubHj3Tymit5fffUVpceIiAjI5fLn9m+7tyPGjh1Ly3IPPN2jMZUjMVfUUalUUhVaHz9+jOLiYtoTzc7ODp6enuByuXjy5AlKSkpor7kymQy+vr7gcrmoqalBSUkJ7RXD5J/a2NiIkpISxutRcHAw5bxdUlLCKMcyYMAACAQC6PV6lKQQJRcAACAASURBVJSU4MmTJwCAnJwcVFRUQKvVYsGCBW0+6MnJycGGDRvw8OFDTJ48GWKxGLa2tpBIJJ2yHaHT6ZCTk4P9+/dDpVJh7ty5CAgIAEEQXapnHo8HjUaD4uJi2us3l8vFwIEDKT2a9Hznzh2o1Wqo1Wq89tprbW7nzZs3sXHjRmg0GsyYMQNLly7FwIEDGUZ+9OhRXLp0CdXV1RgzZgz4fD4cHR3h7u4OrVZr1jZMfW/JNgIDA6lgjea2YcLPzw9yuRwkSaK4uJjmzwo8LXhqyrehVquxefNmNDY2YsmSJRgyZEiHq43cvHkTBw4coNpsCnxpLdXV1Vi/fj1SUlIwevRovPbaayguLqZWhC/SeM/MzKQCSxYvXtym8V5SUoL169cjKysLL730El577TUMGzasxaCOdq+EU1NTcfr0adpnM2bMQGxsLHg8Hu7cuYMjR47Q5HFxcZg4cSK4XC6ysrJw6NAhmtIjIiKojXyVSoXExETa66u/vz9ef/11CIVCPHjwAImJiaioqKDkzs7OeO+991BZWYkTJ04wEkt/+eWXlPP2mTNncPfuXZp87dq1cHBwQENDAy5cuEBt5BsMBkgkEhQWFqKysrLNK5eamhqUlpbi8ePHSE5OhrOzM2JiYjol2qa6uhoXL17Evn37oFQq8frrr9MSinSlnsViMUpLS3HkyBEqGg54usXxySefQKvV0vRsMBggk8mQm5vLqFfWGiorK/H48WPU1NTgzJkzkEgkWLNmjVk9VlRU4Pbt2ygqKqKCNWbNmmXRNj755BPY29tbtI3/+Z//oYI1mtuGiVWrViEgIIBKIH/hwgWafNGiRQgPDwePx4NcLsebb76JpKQkbNy4EZMmTcKkSZM6nDC+trYWd+/eRWFhYZsPPxsbG5Gfnw+1Wo3r169TLlimPL0v0ng3RVuaatO1ZbzX1dWhsLAQ1dXVuHz5MmQyGfz8/ODp6WnxrY11UWsFHXFZqa2txaFDh3DgwAE4Ojpi0qRJyM/PR2NjY4cP5h4+fEilkQwODsb48eOt6o/6PDriolZZWYk9e/bgxIkTcHd3x9SpUzFy5Eizk421XdRaS0NDA9LS0nD58mV4enpi8uTJ8Pf3b5ePdEcO5gwGA86ePYvvvvsOBEEgPj4eL730EpKTk1FQUACAHe+toaGhAceOHcPOnTshlUoxceJExMXFwdnZucVtsw7vCVdVVeHMmTPIzc2lfT5x4kQMGjSIsRoyMXr0aERFRVFZqkx5C0wMGzYMw4cPh1AoRHJyMi5fvkyTh4WFUYPw119/xblz52jywMBAjBkzBnZ2dkhNTcWZM2doT2EvLy/Ex8dDqVQiPT0dZ86coZ3+KpVKTJw4sc2vdc0xlXqpqqrCq6++iuHDh0OpVGLz5s20J3pb0el0+PXXX3Hs2DHq1bx///6oqqpCUlKS2b4ICQmxup7bS01NDa5cuQKdTodVq1YhKiqKqtLbGgwGg9m2R0VFYfjw4RCJRGbbHhoaipEjRyI3N5fRLk9PT8THx8PZ2dmi/UyYMAHu7u7Iy8vDzz//TNuDlMvlmDx5MiIjI+Hq6oqff/4ZX3zxBWbPno2EhIRu3Se+fv06MjIyMGXKFIwaNYpaAZsLtGHHu3kMBgOuXr2KBw8eYO7cuRgxYgT69OnTqn7s8CQsFArh7e3N2NMyvVoRBAEvLy/G073508Hd3Z2RCtCU+AN4GnL4bEkZDw8PaoXj7OzMkDs7O1OrQkdHR4SGhtIOxOzt7ak8qnZ2dhg4cCDNxUUul3d4n47L5cLDwwPBwcFQKpWdMrCqqqqwf/9+JCcnIzw8HDNnzoSTkxOAlvuCw+FYXc/thcfjwdfXF0OHDqVyxLaFltpu6hNzbXd3d6f2kztiPwqFAkFBQbQkR81z6Xp5eWHGjBlITk7Gnj17cO/ePbz11lvdlgRILpdj+vTpcHd3f+5vsuPdPBwOB05OTpg1a1arJ1/qu+x2xPNp7+sJSZIwGo2MDmmvn3BhYSG2bt2KwsJCTJw4EWFhYZ2Sz7S7aO92hMn9q7WTb2/ZjngW0wHS3r17odPp8NFHH7Xap7ij2xHmJg12vLdtvFvS4/No96PWnBvJ7373O8yYMQMEQZh1I5k/fz6WLVsGgUBg1o0kPj4eH374IUQikVk3ksGDB+PLL7+ERCKhuf2Y8PT0xNatW/Hw4UNs3LgRt27dov3+sWPHYGNjY9HN5qeffkKfPn0YbjY2NjYYM2ZMm1+pzcWwtweDwYA7d+5g/fr1UCgUWL58OfW0taaeZTIZbt26hY0bN9JeTyUSCQ4ePIja2lqanu3t7TF+/HiL7k+W4HA4bfaxzsrKwvnz57F582YQBIHp06fjnXfeQW5urlnbOHjwIJydnS3axs6dO+Hj42PRBevvf/87IiIioNfrzbpg/fnPf0ZcXBwIgjA7dlasWIHZs2fDx8cHb7/9Ng4cOID58+fj008/RUJCQpva3lZaY6PseH8+7R3rHVoJP/tVc87vbZE/e01H5J35t5tnheruiDmDwYDjx4/jb3/7G6ZPn46JEycyft+aen6evLns7NmzVNhpd+WOmDt3LqPiszX1YemaZ+VGoxEpKSn4/vvvMWPGDLzxxhst2l135I5gx3vX0KFNJw6Hg5KSEmzYsAEXL16kyVavXo0pU6agqqoKGzduxMmTJ2nylStXYt68eSBJEhs2bGDEpS9YsABLliyBTCbD5s2bsXPnTpp88uTJWL58ORwdHbFr1y589913NPnIkSOxatUquLu749ChQ9iwYQNtD2jw4MF455134Ofnh1OnTmHDhg0M5+0//vGPGDhwYEdU1G6MRiNqamqwbt06XLx4EdOnT0dKSgq+/vpr2nUmPQNosS8mTJhgdT1bozoxh8OBXq832/b58+dTwRrm2j5p0iRasEbzdpmc//v162fRfj788EMEBwfj0qVL2LBhAy3nspOTEz766CMMHToUACxes3jxYly+fBk5OTlYtWpVu70nOgN2vHcN7J5wK+juLGp1dXVIT0/H5s2boVarsXr16l6b+KU5L0oWtc6mvLwce/bsobxsoqKiGIdIbBa1zqPXZFHLzc2lZc4CnmayN0XA3Lt3Dzk5OTS5j48P+vXrBy6XiwcPHiArK4t2gunm5oYBAwaAx+Ph4cOHVPJkEw4ODhg8eDAIgsCjR4+QnZ1NczORyWQYNmwYtFotsrOzqXIlJsaOHQuBQEDJn40AGjlyJCQSCZqampCdnU3tPz148ABcLrdbDsHKyspw/PhxJCYmIjo6GoGBgbh69Srtmp6iZ4Ig8OTJE2RnZ9OikQiCwKhRo6DT6Wh6VqlUkEgk3TIp1tTUoLy8HKdOnQKfz4eHhweCgoJQW1tr1jZGjRoFsVhs0TZiYmIgl8sZtmEiIiICDg4OIEkS2dnZjKTnISEhVPSYubETEBAALy8v8Hg8s306cuRIPHz4EDt37kReXh4SEhI6LZ9ta2DHe9fRoRpzqamptM/s7e0pwygrK2PIBQIBFYZYUVGBmzdv0lxVGhsbqdpllZWVSEtLo7n1eHl5ISwsDMDTSLG7d+/SXikcHBwwdOhQaLVa5OTkMAbCyJEjqdDU/Px8hq+jKbxQr9ejoKCA8nWsq6uDu7t7l3aKwWBAVlYWEhMT8eDBA8yZMwdRUVG4cOFCj9WzKRopMzMTZWVltN8fMWIEQ89qtRp+fn7dMgnX1dWhuLgYBEFQv2dyEzNnG9HR0RCLxRZtIzw8HHK5nGEbJgICAqhJ+MGDB4w+cXNzg4uLCwDzY8fGxgaenp4AzPfp0KFDER8fD09PTyQmJiIjIwMLFixAVFRUOzXUNtjx3nV0eDuiqqoKZ8+eZYQMTpgwAWFhYdBqtTh79iwj1+eoUaMQGRkJkiRx9uxZRgdGRUUhOjoaQqEQ58+fx6+//kqTh4aGIjY2FjKZDFeuXEFycjJNHhAQgNGjR8POzg43b97EmTNnaAbg6emJcePGQalUIiMjA2fOnKEZgFKpxPjx4+Hm5tbl2xF1dXVITk7G3r17cePGDXh5ecHd3R1cLpc62XdwcGhRz0DLfREcHGx1PVtrO4LL5Zpte2RkJKKjoyESicy2PSQkBLGxscjLyzPbLlM0lDn7cXJywvjx46lgjbNnzzKCNRISEuDt7Q0ALV4jFotx9uxZPHjwAMDTQpMXL15EXFwcFdyRl5fXLdsR7HjvfDolWMPLy4vx1DDtYRIEAQ8PD8ahjCnAwFQY89lcoC4uLpRfqLOzM4KDg2ny5o7lTk5ODLmLiwvlvO3g4ICBAwcyKr2a7tnW1hb9+/dnOG93Rm6HliBJEqWlpdi5cyfS09MRHBxMrSBNmHINPE/PQMt90RP0bC1aarvJrchS202pOs21y+T8b8l+mgdrBAQE0F6lRSIRLeS6pWsEAgF8fHyoVIvBwcGIj4+HVCrF6dOncevWLURERHRIR62FHe+dD3sw1wq6aiXc2NiIqqoqqNVqzJw5EwEBAVafsLoS9mCucyFJEiqVCseOHUNGRgZ8fX3Rp08f9mCug/SalfDWrVsZ5Uzeeustynn7xx9/xJYtW2jyefPmYenSpRAIBDh8+DA2btxIc94eN24cPvjgA8p5e9OmTaiurqbkgwYNwhdffEE5b2/atInhvL1lyxaUlJTg22+/ZThvHz16lHLe3rRpEyM+fd++fZTz9qZNm6isUQqFAmPGjKGe5p1BSUkJkpOTYWdnh4yMDPzyyy/USuCTTz6hslP1ZD1LpVKkpaVh06ZNjGCN/fv3o7a2lqZnOzs7vPTSS20O1mgPWVlZuHDhArZu3QqCIDBt2jT8/ve/R25urlnb2L9/PxWsYc42duzYQQVrNLcNE+vWrcOQIUOg1+uxadMmJCYm0uR/+tOfqGANc336xhtvYNasWRAKhWb7dPbs2Vi6dCkkEgmtT0mSRF1dHXg8HsrKyjBkyJCOqs4sPdkOe8N4b4l2r4QXLlzISE7evGKpKWS3LXJTJVeTvHm1grbIzckAekSL0Whstfzq1atUuztrJXz58mUQBIH//d//ZdxHR/XYXXpujby5Hn/55RfqAK+rV8KmPcc5c+aAz+dTOuls2zDRXOfPk3dFn6pUKhw+fBhGoxHvvfdep5RQYsd7D18Jm0JyDQYDNBoNo36Tqf6U0WiERqNh1OSSyWSQSCQgSRIajYaWFBx4upqSSqXgcrmoq6tj1LcSi8WQSqXg8XjQarWMhM5CoRAymQw8Hg/19fXQaDS0ThAIBJDJZCAIAg0NDdBoNDQjIQgCcrmcEW3VWfj7+1OTgwlT/bPmqwVT6RWCIFrUM4AW+0IkElldz21NvNMRTH3G4/HA5XJbbLupRpqltjc2NnbIfkzff7Y+mlwup/YxW7rGlNT82X1UhUJBbV9xuVy4urpSv93ZsOO96+hwb1VUVGDbtm24fv067fOVK1ciPj4earUa27dvZ1SnXbRoEaZOnQqj0Yi9e/fixIkTNPn06dMxc+ZMSKVSJCYmMiJs4uLiMG/ePNjb2+PkyZOMuPaoqCgsXrwYrq6uSE5OZlR6HTBgAJYtW4a+ffvi6tWrjEqvXl5eWLlyZZcUZbRETk4OlR/YhEAgwPvvvw8PD48W9Qy03BejR4+2up6thV6vN9v2qVOnYvbs2RbbPmbMGCxYsICyj+btCgoKwrJly+Dt7W3Wfjw9PbFy5UoEBgbizp072LZtG82Nz97eHm+//Tbl2dLSNQqFAtu3b2d4HLz77ruIjY3tuILaADveO592b0dERUVRCZ9NBAQEwMPDA1wuFwUFBQw3lr59+8LPzw9cLhdFRUXIycmhPY1cXV0RFBQEHo+H0tJS5OTk0J7+9vb2GDRoEHg8HioqKpCTk0NzM5FKpYiMjIRWq0Vubi6jBM3o0aPB5/Mpv8Jnc/qOGDECYrEYTU1NyMnJofIcmPwPRSJRpx7M8Xg8DBo0iFaVAnjqGmVK/ZeXl9dj9UwQBKqqqpCTk0OrlEEQBEaMGEGVXTLpOS8vD2KxGHw+v8u3I86dO4dHjx5RQSUeHh4IDAxEbW2tWduIjY2FSCSyaBvR0dGQyWQM2zARHh4OBwcHGI1G5OTkMPp04MCBcHV1tdin/fr1g5eXl8U+9fLygp+fH3g8ntk+raurQ01NDXg8XpcczLHjveto90q4qKgIKSkptM9sbGyo0joPHz5kyLlcLnx8fMDlclFeXo6rV6/SXr+Cg4MRGBgIHo+Hx48fIzU1lfZa0rdvX4SEhIDH46GqqgppaWk0xTs4OGDIkCGoq6tDZmYm7t+/T/v9mJgY6vUwNzeXEeETEREBsVgMnU4HlUqFO3fuAAC0Wi08PDw63XOBJEncv3+fsapwd3eHUqkEh8Pp0XomCIIqqdN8UhIIBBg2bBhDzxqNBv369eu2YA1T5BNBEDAYDAgMDLRoG5GRkRCJRBZtIywsDDKZjGEbJvz8/GBvb2+xT11cXODs7ExNos/2mVQqpSY0c31KkiS8vb3B4/HM9qlYLIaDg0OXJYPvyXbYW8a7JVgXtVbQVS5qfD4fL7/8cmfcYq+AdVHrOvLz83HlyhUAbO6IjtJrXNRMPH78GElJSYz9qjlz5mDYsGHQaDRISkpilDOZNGkSRo0aBZIkkZSUxMj1OWbMGMTFxUEsFuPYsWM4c+YMTR4ZGYmJEydCoVDg7Nmz+O9//0uTBwcHY8qUKXB0dMTly5dx+PBhWrkTX19fzJgxA3369MGNGzeQlJRE2+x3dXXFnDlzunUvMz8/H0lJSbRMWnw+H0uWLIGzs3OLegZa7ouIiAir69la6PV6s20fNWoU4uPjLbZ96NChmDhxItLT0822a/r06XBzc7NoP7Nnz4a3tzcyMjJw+PBhWgVmGxsbzJs3j9qDbOkaqVSKpKQkamIwsXDhQoSHh3dcQW2AHe+dT4cnYblcjtjYWEYEiykcUyQSYdiwYejXrx9Nbnr1AoAhQ4YwkpG4urpSJ8ehoaEMnz0nJyfKKyAoKIjhe2pvb09FJPXr1w9z586l7UcpFArY2tpS9zpjxgzaRr5EIulw9du24uzsjPHjx9NeybhcLtzc3CAWi1vUM9ByX/B4PKvr2Vp0tO2W2mVnZwfAsv2Y/p6bmxsmT55M8xgQCARULonnXcPn8zF27FhGVJw1Jgx2vHc+nRK2/KzCaT9AEPDx8YGPj4/Fa7y8vODl5WVR7u7uTivj/iyurq6Ue445lEpli1nyHRwc4ODgYFHeXcjlcgwYMMCivCU9A8/vC2vr2VqY6ri1t+0dtR9bW9vnPoied01gYGCL3+8u2PHeBZBtYNeuXeTatWvJtWvXkqtWrSIJgqD9W7NmDZmdnU2qVCryj3/8I0O+YsUKMjMzk1SpVORnn31GSiQSmnzGjBlkeno6qVKpyH/84x+ks7MzTR4TE0PeuXOHVKlU5L/+9S/Sx8eHJvf39yfT0tLIo0ePksOHD2f8/o0bN0iVSkWeO3eOfOmllxjy5ORkUqVSkdevXydnzpxJfe7m5kauWLGCXLt2LdnQ0NAWlZnl22+/JdeuXUt+/PHH5JIlSxj3sWnTJjI3N5dUqVQ9Ws8qlYrcu3cvGRoaSpPb2NiQN2/eZOjZy8uL/MMf/kCuXbu2wzpsiSNHjpAzZ84k5XI5SRAEKRKJyFdffZVUqVQWbePixYst2saJEyfM2obp386dO8m8vDwyKyvLbJ+uW7eO6jNzfbp69WoyIyPDYp8uXbqU6hNzfRoaGkquXr2aXLt2LZmfn98pemTHe+eM9+fR4YM5g8GAuro6hiO5TCaDSCSC0WhEXV0dw7lbKpVCLBZTYZfPOneLxWJIJBJwOBxotVqaawrw9LVHIpGAy+Wivr6e4dwtEAgo5+6GhgbU1dXRnLf5fD6kUikIgkBjYyPq6uoYztsm5+7uOpjT6XSoq6uj7WVxOBzI5XLweLwW9Qy03BdCodDqerbWwRxBEB1qe1NTU7vsRyqVgs/nU99v7hnA5XKp4AAALV5jCiZp/voMgErsBHTfwRw73jufTgnW+OGHH3Dt2jXa56tWraKct7dt28ZIPbd48WJMnToVJEnixx9/xPHjx2nyGTNmYNasWZBKpTh48CAOHDhAk48bNw7z58+Hvb09jh8/ziiHEhUVhVdeeQWurq44d+4cfvjhB5oRDxw4EMuXL0ffvn1x5coVbNu2jeG8vWrVqm4P1ti2bRstebZAIMCHH34IDw+PFvUMtNwXo0ePtrqerYVerzfb9mnTpmHOnDkW2z527FgsXLgQV69eZbRrwIABWL58Oby9vS3az8qVK9G/f3+kpaVh27ZtNDc+BwcH/O53v6OCNVq6RqFQ4IcffmAchv3hD3/AyJEjO66gNsCO986HdVFrBayLWufAuqh1HayLWufRa1bCt27dQkZGBu2z8PBwBAQEgMvlIiMjg5HVKCgoCKGhoeDxeMjNzcWNGzdorwTe3t5UJFZBQQFu3LhBe61xdnbGqFGjwOfzUVxcjBs3btDcTBQKBSZMmAC1Wo3U1FRGOZPZs2dDKBRS8uauYMDTlZFMJkNDQwNSU1OpCKHy8nIq9r0zMRqNuHbtGiPj/4gRI+Dp6QkOh9Oj9czn81FeXo7U1FSaEz1BEJgxYwYaGxtpei4pKYGjoyN1Ct6VVFZW4sGDBzAajSAIAv7+/oiIiMCTJ0/M2sb06dMhlUot2sakSZNga2vLsA0TY8eOhYuLC4xGI1JTUxl9Gh0djb59+4LL5Zrt00GDBlGBC+b6NDAwEKGhoeDz+Wb71GAwgCTJLgvW6Ml22FvGuyXaPQmbks08+5mJpqYmhrz5PpJp//PZcicm9Ho9tFotLdGHKak18NToTIk6qMYQBJWt6VkZ8P/KWpMkSSXxaI7JQEiSpBKqmO7r2cKKnQFJkmb11HxPuCfr2ZJcIBBQWa2a67mxsdFs6fGuwGAwUPusBEFQOuls22j+eyba26eme2hPn3K53C5d8fdkO+wt490SHd6OePz4MY4cOWLWeTsqKgoajQZHjhwx67w9cuRIkCSJI0eOmHXeHjt2LMRiMY4fP27WeXvChAmU8/axY8do8pCQEEyaNIly3k5KSqINBD8/P0ybNg19+vRBamqqRedtLy+vbtuOUKlUZoM1Fi9eDGdn5xb1DLTcF0OGDLG6nq21HcHhcMy2fdSoURg3bpzFtg8dOhQTJkxAeno6o12+vr6YNm0a3NzcLNrP7Nmz0bdvX2RkZCApKclsIIa/vz8AtHiNRCLBkSNHzAZrDB48GED3bUew473zafdK2JQAubGxEVqtlnJcN5Gfn4/a2lro9XrU1NQw5A8ePKAU/fjxY4a8rKwMycnJVHKPZ+VVVVW4ePEi+Hw+Hj58yJDX1dXh119/hUgkQnl5OWxsbGivQjqdDteuXYNEIsHjx48ZVYC5XC5SU1MZyWk6E71eT0sObvqd5m0xverdu3evRT0DLfdFTU2N1fXcvH5ad/HLL78AMG9jjx49arHt1dXVuHjxIqqqqsy26/r168jIyLBoPzdv3kRubi6qqqrA5/Npf18gEOD27dtUvoOWruHz+dDpdIz7y8nJoSbtZ1NDdjbseO862r0SflHpzJXwi0x3rYRfRLpiJfyi0h0r4TZl2fb19f1N10B7HgEBAZ1y8GE6gHlReTbktbPx8PDolhJKPZHObDs73jtnvD+PNq2EWVhYWFg6l+6rN8PCwsLCwoCdhFlYWFisCDsJs7CwsFgRdhJmYWFhsSI9ahI+f/48fvzxR0aGpeYUFRVh//79jKKCLE9prsPs7Gx89tlnZvWZl5eH//znP1TwBEvHeeONN2jBFs9y4cIFRuIZFjot6fDrr7/G5cuXYTQa8d///hdJSUndfHddQ4+ZhMvKynDp0iUYjcYWwy+FQiGuXLnCiMhhYeqwrKwMJ06coEUOmTBFJrEPs87hxIkTqKyspKo7mMPW1hafffZZN95V7+J5Ojx79izu3bsHkiQhlUqxfv36br7DrqHHTMIFBQXIzs7GwIEDW/TNc3R0RFBQEAoKCl74gIdnaa0OgadhmoGBgbh79y7UanU33eFvl+3bt2PcuHEt+tUGBQXB19cXp06d6sY76z20RocmBg8eDFtbW0ZKzd5Ij5iEdTod8vLy0NTURCt78uWXX8LW1hZyuRzTpk0D8DS8MDAwECqVCkVFRda65R6HJR0CwLfffgupVAp3d3ds3rwZwNO6a2FhYUhJSbFKOPFvibKyMty+fRuRkZHUZ4WFhViwYAGkUim8vLxw+fJlEASB+Ph4/PDDD1a8256JOR1mZ2dj/PjxkEqlWLBgAa2kvUgkwoABAxgFP3sjPWIS1mq1uH//Pnx9fWFvbw8ASEpKgkQiwaNHj1BaWory8nL85z//AfA0t4JGo2FkRXqRMadD4Gn6SA6HA7VajR07duBf//oXUlJSADwtnlhRUcGogsDSNrKysuDg4AA/Pz8AT3NO/POf/4SNjQ3q6uqwbds2FBYWora2Ft7e3sjOzrbyHfc8zOlw+/bt8PHxQV1dHaZNm0azUy6XC6VSicLCQmvdcqfR4coanYFOp8OTJ0+gUCioz6ZOnYp79+4hOzsbDQ0N8Pb2prYf5HI5tFot1Go1SJIEh8Ox1q33GMzpEHhaxffNN98El8vFwIEDMXz4cKhUKkRFRcHGxgbV1dWMUjEsbePx48c0G6ypqUFJSQmWLFkC4GmuYRMuLi4oLCyETqd7IZLNt5bn6XD27Nm0NwgulwtbW1uUlpZCr9eDIHrEVNYuesydm2pAmcjJycHq1avR1NQEo9GIoqIiREdH076jVqthMBh6dQd0Js/q8Fl4PJ7ZQ4+amhr2YdZBbGxsaPojCMJiUnCSJFFTU2O1Eus9lbbo0IQpT3Hz3MO9jR6xHcHlcsHhcGg1n3bu3AlPT0+q3pSbmxsla2pqAkEQcHJyYifg/x9zEXeZOAAAA2RJREFUOgQAjUaDO3fugCRJlJeXIz8/nyoH3tTUBKFQCGdnZ3YC7gAikQiVlZVUEnE+nw+j0Yjbt28DeOpWmZOTg6amJmi1WigUCnYCfobn6fDu3bu0g3hTInY7O7tePQEDPWQlLBKJ4O7ujszMTNTX10MsFiMyMhLbt2/Hp59+CgA0X9fq6mrIZLJuzX7f0zGnQ+Dp1k1iYiJOnDiBR48ewd3dHeHh4QCevgJ2V7mh3zLe3t5obGxEVVUVZDIZbG1tMXr0aBw9ehRlZWVQq9WIj49H3759UVhYiH79+ln7lnsc5nQYExODQ4cOoaysDAaDAXq9nvL6MRqNePz4Mdzd3a185x2nx0zCfn5+uHz5MkpLS+Hj44Nx48ZBp9OhtrYWPB4PkydPhq2tLQCguLgYCoWC+n8W8zoMDAzEX/7yFwgEAuTk5GDAgAGIioqiDu7u3bsHNze3bqul9VvF19cXMpkMaWlp8PDwgEQiwfTp0+Hq6kolKB86dCiEQiFu3LhBVUJh+X+Y0+HMmTOhVCpRVVWFgIAAjBo1Cn5+fuByuWhqakJ+fj4iIiKsfesdpkdMwlwuFz4+PnB3d0dBQQF8fHwgFosxc+ZMxrVarRapqalQKpVwcXGxwt32TMzp0MXFhdLRs/vpGo0GV65cQVhYWK9/nbM2YrEYCQkJuHLlCiZPngzgaWDG+PHjaddVVFTg2LFjjHLuLOZ16ODgQLmmPktxcTFu3ryJ9957rztvs0voEXvCwNNTfAcHB5w9e7bF03rTyfLw4cPZyeMZWqtD4KkPpkwmQ1RU1AuduLuzmDFjBnbu3ImSkhKL1/zyyy+IjY1FWFhYN95Z76E1OjRx6tQpjB079jextdOjkro3NTWBJEkIBAKLB0VGo5HaG3qRq1NYojU6BJ5WrzV5lnC5PeZZ3GshSRJarRZisdiiPnU6HYxGY5eXy+mttEaHJkyVnH8L5xk9ahJmYWFhedFgl0AsLCwsVoSdhFlYWFisCDsJs7CwsFgRdhJmYWFhsSLsJMzCwsJiRdhJmIWFhcWKsJMwCwsLixVhJ2EWFhYWK8JOwiwsLCxWhJ2EWVhYWKwIOwmzsLCwWBF2EmZhYWGxIuwkzMLCwmJF2EmYhYWFxYqwkzALCwuLFWEnYRYWFhYr8v8BhkQDxP4K9VMAAAAASUVORK5CYII=)
Physics-General
Physics-
A rough vertical board has an acceleration ‘a’ so that a 2 kg block pressing against it does not fall. The coefficient of friction between the block and the board should be
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)
A rough vertical board has an acceleration ‘a’ so that a 2 kg block pressing against it does not fall. The coefficient of friction between the block and the board should be
![](data:image/png;base64,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)
Physics-General
Physics-
Block A weighing 100 kg rests on a block B and is tied with a horizontal string to the wall at C. Block B weighs 200 kg. The coefficient of friction between A and B is 0.25 and between B and the surface is 1/3. The horizontal force P necessary to move the block B should be ![left parenthesis g equals 10 m divided by s to the power of 2 end exponent right parenthesis](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGYAAAATCAYAAABiMHgQAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAtNJREFUeNrtWE1kHVEUHlFPRYSIireoElFvERUqoiqixBMVT4WIqK5KRUVFNlFRWYXIoioiREQWXZSKripKRVU8ESoiiy66iS4qojxVEfEMyTl8ieu+c2fu3HmTyWI+Pt47c+/Muefc83Ov52W4KpyBVWKZ2JGZ5HqhgfiSuBtlEk+Yy2wXiC7s+Lg4VX7PwfYi7hG3M7uHYoX4NOY7+ojfNVkZPqhBGbshbdwlviHuBYxpJi4Rd8BlyJLGLeIB0pEr8rB1uya/T9xKKjzrgffEFyiUJmwSS8r/QciSxjQ2TZxN9xnOkbAFB11injh+DbsYCcPEBUH+jjiacNE+QNS4RspGSGS/0mv8F2KvYXAjHPcXBWuduEicSskx/P2iIH+EZypmoGcbnHlEPCQ+xvMW4ltihfif+DpAH3b6qkVE/Sb60F+1ETulEDL/gR75rFROGHgDRWoKv5mT+PCTkH49iHEcUzHomoPhVXyEc37AsKz/Hez8PNY2AvltbLw22zQjOGXFoJtnaYccfHEJ3/AyzqezgvxXQJ5MOmL8gDlVQc9NRIaKPzCiJM87tsj8vL8O667aLJbDvlXItccp1hjf8mzAep4gFXsR5K4t8jAOjaV6OkZKZWL7RughfrO4ekgqlR0Z0sVNLZWZ9Iwqj9Ii52Ezfk+Tg1NqUtlX4kNt0BBaV6kIrqUYMVzgBwR5USv+Jj2jyqO2yLxB9onPHNZcU/yldplD8oPhnPE8RccMIbXoWNPa5QWch3REkbu2yKuOtwPj8EVgcWtGauhSxqyjQPal6BgPqWIC3VQOu1q/4viktMWucpsWWUc38adQm20gdn7bwl1NCX15FS1nEeeZhoQdElaTWmCwUxTsZSGnV5BWvBjysBb5Av+gp49NU3BYt6mmW11idhrSW4b4MF5iMsaUKwH2+pLS13djciGzYd0xb6h7IppQEI+RLjYQMRmuAOdQXcnAFedchQAAAKd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+KDwvbW8+PG1pPmc8L21pPjxtbz49PC9tbz48bW4+MTA8L21uPjxtaT5tPC9taT48bW8+LzwvbW8+PG1zdXA+PG1pPnM8L21pPjxtbj4yPC9tbj48L21zdXA+PG1vPik8L21vPjwvbWF0aD67BSBBAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
Block A weighing 100 kg rests on a block B and is tied with a horizontal string to the wall at C. Block B weighs 200 kg. The coefficient of friction between A and B is 0.25 and between B and the surface is 1/3. The horizontal force P necessary to move the block B should be ![left parenthesis g equals 10 m divided by s to the power of 2 end exponent right parenthesis](data:image/png;base64,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)
![](data:image/png;base64,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)
Physics-General
Physics-
A body of weight 50 N placed on a horizontal surface is just moved by a force of 28.2 N. The frictional force and the normal reaction are
![](data:image/png;base64,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)
A body of weight 50 N placed on a horizontal surface is just moved by a force of 28.2 N. The frictional force and the normal reaction are
![](data:image/png;base64,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)
Physics-General
Physics-
A 40 kg slab rests on a frictionless floor as shown in the figure. A 10 kg block rests on the top of the slab. The static coefficient of friction between the block and slab is 0.60 while the kinetic friction is 0.40. The 10 kg block is acted upon by a horizontal force 100 N. If
, the resulting acceleration of the slab will be
![](data:image/png;base64,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)
A 40 kg slab rests on a frictionless floor as shown in the figure. A 10 kg block rests on the top of the slab. The static coefficient of friction between the block and slab is 0.60 while the kinetic friction is 0.40. The 10 kg block is acted upon by a horizontal force 100 N. If
, the resulting acceleration of the slab will be
![](data:image/png;base64,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)
Physics-General
Physics-
A body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is
If the mass is pulled by a force P as shown in the figure, the limiting friction between body and surface will be
![](data:image/png;base64,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)
A body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is
If the mass is pulled by a force P as shown in the figure, the limiting friction between body and surface will be
![](data:image/png;base64,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)
Physics-General
Physics-
A block P of mass m is placed on a frictionless horizontal surface. Another block Q of same mass is kept on P and connected to the wall with the help of a spring of spring constant k as shown in the figure.
is the coefficient of friction between P and Q. The blocks move together performing SHM of amplitude A. The maximum value of the friction force between P and Q is
![](data:image/png;base64,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)
A block P of mass m is placed on a frictionless horizontal surface. Another block Q of same mass is kept on P and connected to the wall with the help of a spring of spring constant k as shown in the figure.
is the coefficient of friction between P and Q. The blocks move together performing SHM of amplitude A. The maximum value of the friction force between P and Q is
![](data:image/png;base64,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)
Physics-General
Physics-
What is the maximum value of the force F such that the block shown in the arrangement, does not move
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)
What is the maximum value of the force F such that the block shown in the arrangement, does not move
![](data:image/png;base64,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)
Physics-General
Physics-
A block of mass 0.1 kg is held against a wall by applying a horizontal force of 5 N on the block. If the coefficient of friction between the block and the wall is 0.5, the magnitude of the frictional force acting on the block is
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)
A block of mass 0.1 kg is held against a wall by applying a horizontal force of 5 N on the block. If the coefficient of friction between the block and the wall is 0.5, the magnitude of the frictional force acting on the block is
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)
Physics-General
Physics-
A block of mass m lying on a rough horizontal plane is acted upon by a horizontal force P and another force Q inclined at an angle
to the vertical. The block will remain in equilibrium, if the coefficient of friction between it and the surface is
![](data:image/png;base64,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)
A block of mass m lying on a rough horizontal plane is acted upon by a horizontal force P and another force Q inclined at an angle
to the vertical. The block will remain in equilibrium, if the coefficient of friction between it and the surface is
![](data:image/png;base64,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)
Physics-General
Physics-
A 10 kg block is connected to an empty 1kg bucket by a cord running over a friction less pulley. The static friction coefficient is 0.4 and the kinetic friction between the table and block is 0.3. Sand is gradually added to the bucket until the system just begins to move. The mass of sand added to the bucket and the acceleration (in m/s2) of the system respectively ( g = acceleration due to gravity)
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wGhOzXJ7oIss0xLdk3Wi+qfNuS1xcuXIgPPvgA69atQzKZBMuyMJvNOVd1J6K3txeKoug6t7SguBmGwRdffIGhoSG8/PLL9EtgWRZ2ux3RaBSKotCwTADjPAhELIIg0PrXJHkgkUiM8wLYbDZEIhH6xG82m8c9pJHsmXQ6jb/85S85b/dqm1XtNch+nzx4qS9E9XGIJ4NciNu2bcPhw4fPefDNPp+6PUmuB2y1Vyj7GOoxZNvk+YrmZ6P+bNnwPI9gMIg///nP2LdvH6LRKFwuFxYvXoxvfOMbRT0czps3DxzHlfcKpaIoqKurgyRJOHr0KB577DH6gchMrJ5piaDIe+ofnHgNyB2A1NImMzgJdiI/jNqlRtyBDMPg+uuvp68RyJjIxUNccOrjq707JpOJXliCIJzjtSEXVzKZBMMwNEGYHJ/8EQSB2uLquw65OMi4Sew4ieMm3wWZCNTjU3tMiJdEFEXqNs11gZFzkDQ24plRX3jAWDbO+vXrsWvXLpw9exZerxd79+7FnXfeWZS4STMsSZI07zPTaDJLGhoaEI/HUVdXhxtvvLHUYyoJ+bwVxeyfb5+pHC97li7kASnmeBMdY+3atXj66afh9/vzVvKaiO7ubsiyPKmE7ZlCs7dEi2ejHMjnjShm32LfK2YsWjwgxRwv3zFcLhfWrVuHt99+G+FwWPOYCeSOU11dXfS+M0XZJCsYTC8Mw6CpqQlXXXXVOLNMK0uXLgUwtvyuVzSLeyL3nfq17H+r983nIsw+j5bj59s/e6xTIft8sw3ycD6ZzxePx2lysl6ZclRgLnFO9O9cgpnoy813/EL7GwKfGEX5Xy2XyeDz+ehDs17R5Ap84YUX8OWXX+LYsWO4//77acIAwzDjvAcAxj3Nqz0Hag+K2hNAjkGe6ElwEYCcLi31e8R7oB6H2rMyUQEadQyIelu16zA7AEkd5KQ+rvoOku/hLJdPnGTIZ6+gqh8O1d+tulGs2uWXy+1J3JjqOJfsfcmqa1NTU9EXb0VFBc2k1yuaZm6Px4NkMolbbrkFH3zwAe644w7Y7XYMDw/j5MmTcLvdiEQicLlcaG1tBcdxkCQJp0+fhsViAcMwNNDf5XJhdHSUCioUCsHn8+H06dPwer3o6OhARUUFzGYzXZAhq2nENiR+c+KOSiQS1C1H3GxWq5W6qiwWC1iWpTU5yI9tsVjouH0+H139NJlMdAyKMhY2GggE0NXVRQvdELclWUSSJAmhUIi2BzSZTDSHc2RkBKOjo2hpaUEmk6HFcCoqKjA4OIhAIACXy0Wz+4koSaVau90Os9mMQCCAWCwGAHThrLKyEslkkroVbTYbotEodu7cicWLF+Omm27Km71EFrRI4nQxmM1mpNNpjIyMwOPxFLXvTFFQ3JlMBldccQUYhsGuXbsQiUTwrW99CwDQ39+Pnp4etLS0wGQyweVy0cUbQRDg9/sRiURQXV2NVCpFKyqRmZqE0iaTSfh8PkQiESxduhSVlZUQRZHOPuofh8w+VquVztBE3Gp/Oik3oC5LlkwmkUgkYLVaIcsyrevBMAyGhoYQDAbBMAzsdju8Xi9d1bTb7TQhtrKykuZpklmS+JVJWDCpD+JyuWCxWBCLxRAMBmG322liBBkvuQsIgkBXgoEx8TqdThr+KwgCotEo+vr6aIUqURRhs9nAMGO96kOhEK06NTQ0hMWLF+PrX/96QRFMxtMTCoWQSCRw+vTp8hU3Waomtz+r1UpjrRsbG+kStdq0IDOCx+OB0+mkP8TChQthMpmoScBxHGpra8GyLObNm0crK5FaeeSWnZ0po17aJyubarOIYRi6DQkOYpixAj3k/GSWJ7fy6upqmuxKjqtOPDaZTKivr6dpZuo4amKyeL1euFwu+h2ox09Wb7PT1NQmTbb9q/Zbk99h/vz555hC5N8ul4uWQZs7d+64hZzphpg7ek6702SWqGcY8kWq20hnb0sgMyZBnQ1C9h83mP8vpuxM81y3zHy2ePaydfZ72XEr6nNkn0e9Dcdx45IVch0j+/Oqt5uoSI56/1z7qrfJ175Effx89V2mE6/XC7PZDK/XW9LzTAXDzz3LIKIudYOqcDhMHQB6xRD3LIQEspUSn883qWX7mcQQ9yyD2OgVFRUlDZMg5lfZx5bks99KbddNJiCpFOfNFdw00TZaj19MQJT6/xNBjhuNRlFZWalpPJNh0aJFEARB181nNXlLBgcHx2W2HDlyhHohSCaLIAhwu910WZb4Y5PJJPX38jxPY7pJSV1SNkIQBPh8PjQ1NSEQCMBms9GwVJ7nEY/HYbFYqF91dHQUDodjXIY8+VtRFDidTgwODsLtdiMYDNJkBlJknbgiyTnVWfVOpxO9vb2oqalBNBqFKIo0XJXnecRiMVRVVcHv98NsNiMajaKurg4+n4+WLOY4DpWVlQgGg3C73RgYGEBNTQ1dyOrv76f/JwIJh8NwOBwYHh4GMPaQ6/F4MDIygkQigebmZrjd7oIruplMhiYilIozZ85Qr5Ze0TRzE3+u0+nE559/jh/84Ac5tyOzBtkn+z3yei6PBvl/rsxv9X4TzXrZXodc+6jfB5AzozzXvrk+qzr7W70CmP19aJ3ps8cJjJWRi8fjCAQC6Ovr07Tcnclk4PV68dvf/rbgtpOFxKVMNV2tlGhKViB5ci0tLbjppptKPiiD/9Hb24uBgQG8/fbbePHFF7F27doJBc4wDE6dOgWbzYYbbrihZONyOp3gef4c96ie0DxzG5w/yDL/6tWr8cQTTxQsp7B79278/ve/L6lZQprUkhVoPWJ4S3QOaQ2ibhgF/M9UzP5DmEr/IC2QPj967s9piLsMILmm6sjEQqiX50tBKpWiSeJ6xRC3zjGbzbBYLMhkMhgcHNScEiZJUkmTd51OJ8xm84Tli9UxMKW+2HJhiFvnkLgWlmVRV1cHt9tdcB9SjqKUPmgS4Jav43I+ZlLghrh1DnEFKspYH02trQUTiQQSiUTJxkUKIkUikZKdY6oY4tY5JGSW5/lxD5SFUDe7mi5I7PzevXvxxz/+Eel0msbq65Gy6axwoULa4pF221pu62RharpcgZlMBqOjozh+/Dj279+PEydOgGEYRCIRPPHEE1i7di0uvvhiVFVVaTKF8i3iTTeGuHUOyZskqWdaIClnJCwCKM7WVYuOdAresWMHfD4fvF4v7el5/PhxiKKIw4cPY+/evfjqV7+KSy65BABomt35TKw2xF0GBINBWkMxX7JCNupE7WIh5e4EQcDRo0exdetWtLe34ytf+Qqamppw6NAhKIqCe+65BzfeeCMYhsGRI0dw8OBByLKM1tZW2Gw2OJ3OCRMnskMNphtD3DqH9LNX1zwsBAk2m6xZEgqFkEwmUV1djWAwiP7+fvz4xz+m6YbLly/H4OAg5s2bR/vKNzY2oqmpCTt37oQoirjooos0jbWUAjfErWNIIFV1dTVNLtYaP52dA6r1fMBYrLYgCDhz5gx2796NBx98EHa7nb7vcDggiiJ4nqezMsdxWLx4MXiex9atW+FyuTSXfSiVDW54S3SO2WyGzWYDx3GavRKkUmwx4ajpdBqxWIyWhwgEAnjiiSdw++2347LLLjtne0EQctaCaW9vB8/z+OKLL+h4tYp2uu1zQ9w6h3hLANDyz4UgicrFzNykCD2pYvDII4/g7rvv1mxeEHiex913340vvvgC77zzTtEZ+NMpcEPcOoYsWZMWheRBTwvq8sJasn1IcX+WZbFjxw60tbVhwYIFkxJbXV0dNm3ahA8++ABvvPFG0WbHdAncELfOSaVSdOa2Wq2aGpqSalRa7HPSS5I82CUSCbzxxhtYs2YNKisrJ12auaamBg8//DB27tyJd999d8Z822oMcescskJJ2q9oaWqqrnWo9fgMM9Y94pVXXkF7ezvWrFkzpXErylhHjo6ODnR2do5bps8Ozy0Vhrh1Dqmepa5BWAhS4k1r4BSxsw8dOoRjx47h+uuvn7bs+U2bNkEURbz00ksznpJmiFvHkIhAURTBsiz1ZhSCJD9rXcRRFAXBYBAnTpxAe3s7nE7ntAib5MR+97vfxfbt2/Hll18Wlck/VQxx6xgiBFIMtJjSEaRKrtbtT506hTNnzmDlypXT2hVYUcbaiN96663YvXs3uru7p+3YhTDErXPS6TSCwSAkSYLdbteUiaM15JXMnIlEAp2dnWhsbERzc/O0jFsNx3G49tpr0dLSgrfeegunTp06ZwylwBC3ziF1WXieh8lk0jwb8zw/4bbqEhwnTpyA3+/HypUrS5bNLooirrzySrAsi927dxfcfjrcgYa4dQ5x68myjGAwqDkhlxQnKoSiKPjvf/8LAFi4cOGUxloIh8OB1atXY2BgAJ2dnSU9F2DElugenudhtVrpTKzFLCHeEi0rlIcPH8a+ffvwox/9qKj+NvkKIhXioosuQjQaxRtvvAGHw4H29nbN5ywWQ9w6h/i1zWYzQqEQIpGIpoUcoHD9QlmW0d/fD7vdDpfLdc772f10JEmi/vP+/n7a0cLtdsPlctFtC12EVVVVYFkWIyMjtPRcKTDErXNIwH8mk6F1GQvBMAzt/zPR7H3y5Em8/PLLeOqpp2hJOWLOhEIhBIPBcX19PvroI4yOjiKVSuHIkSNIJBKIxWJoa2tDY2MjeJ6H2WzGkiVL0NLSAlEU6V1HXTy/ra0N119/Pd588004HA4sWrQob8m6qTxwGuLWOWT2zWQymDdvHi1tV4hC8dzDw8P4+OOPsXbtWoiiCEVRaJCWLMsIhULYu3cvJEnCyZMn6VjIgs9Pf/pTNDc3I5lM4qOPPsKOHTvoA+zJkychiiIaGxuxfPly1NbW0gZcdrsdmUwGS5cuxcGDB7Fz5040NTXlrX8ylQdLQ9w6R1EUepsnzbQKQQKsstsVqtm6dStGR0dx//33085kpK1KV1cXBgYGcPToUciyDLvdjpqaGnzta19DU1PTuONYLBZs2LABGzZsgKIoSCaTOHDgAE6cOIF4PI4XXngBixYtQnNzM5YvX45UKoVwOAyLxYK1a9fimWeeQV9fHzo6Oqbl+1JjiFvHkFmbJAXEYjHN4iZlonNx7NgxHDp0CLfeeisSiQSCwSB4nkcwGMT27dsxPDwMjuOwatUquN1uLFiwADabTXM2/SWXXIJLL70Uw8PDOHbsGE6cOIE9e/bg888/x+LFi3HxxRdDURQ0NDRg0aJFeOWVV/D9739/0g1f82GIW+eQXpgANIu7UOb7Rx99BJfLhXnz5qG7uxscx2Hfvn3o7OzE/PnzceWVV2LevHloaGig9rKWlDWGYcaNt6amBvX19Vi6dCkGBwfR2dmJjz76CNu3b8cdd9yBhQsX4pZbbsGOHTvwi1/8Ag899BAaGho0fjOFMcStY8hs7ff7iypsqe7aBoz3eiiKgiVLlqC1tRVWqxXRaBRPPfUUVq9eje985ztoaWmhzV0JxeRiqm1kcj6v14uqqiq0tLTA5/Ph008/xZNPPomOjg5s3LgRV111FX7xi1/Q/qbThSFunUNKqTEMg2AwiGQyWbD4JMuyiMfjkCQJHMehs7MT4XAYtbW1eO655yBJEn74wx/iBz/4AaLRKJ5++ml4vV5YrdaSlWJgGAY2mw02mw1z5szB+vXr8corr+C2227DL3/5Szz44IN48skn8Zvf/IZ6WKY6FmOFUueo+7U3NjZqWh4nXYdJ1rwgCOju7sarr76KAwcOoL6+HldddRUefPBBvPTSS2hubqadiKeKlrsLz/NwOp247777cOjQIbz22mt46aWXUFtbi02bNtGWJFON+zZm7jKAxHTHYjFIklSway8JeSUPpHPmzMHx48dhtVqxYsUKVFdX4/PPP5+SeKYrJBYANm/ejFAohEceeQSXX345HA4HBEGY8jkMcescYpKk0+mi2uKp+/BYLBYsX74ckUgEl156KVpaWug22eQS1GRFVkyIrsPhwK9+9St60U0HhlmicxRFQSAQQDQaLaezWwMAAAqcSURBVCpBOJlM0txLlmVhsViwefNmbNmyZcK63blqak/GXClmn0wmg3feeQcvvPAC9u7di6qqqmkRuCFunUOCoEh7Qa2Qbgzk3wzDoLe3F0eOHKEhp8UIqJhzFzNjA8A//vEPPPLII+js7MTAwIDm8xTCMEt0DsMwtA9msQInkAc4l8uFqqoqHDt2DG+99RbuvfdeLFiwABaLRdNxC2Wwax1bOp2GJEn4+OOPsW3bNtTX12Pjxo0YHR3Fxo0bp80sMcStc8xmM6xWKxRFgdVq1ZwgnB1bYrPZcN9992HLli3o6OjAwoUL8eKLL4JhGNx2221obGyEx+PRNKapeFVIcsTzzz8Pm82G1atXY8mSJQgEAnjsscewevVqQ9wXCrFYDENDQzSYSWtxSWJzkyVzjuPQ1taGoaEhVFdXQxRF1NbWwu/345lnnkFraytWrVqF5cuXw+l0luSzDA8PY9euXejp6cGqVatw2WWXwW63027Hk61Kmw9D3DqHYRi6IBMMBovqYpBvZdFqtaK9vR1nz55FTU0Nfv3rX2Pbtm14+eWXsW3bNlx77bVYvXp10YU08yHLMp577jl0dXUhkUjguuuuw/r16+kzQTqdxr///W/ceOON03I+gvFAqWOIeTF37lw4HA7MmTNHc3BRrlqBNTU1uOaaa7BlyxawLIu5c+eirq4Odrsdd9xxBx577DEsXLgQr776Ku68806cPXsW8Xh8Um1BSPWqrVu34tZbb8XAwAAuvfRS/N///R+uvvrqcWOz2+149tln8cADD0xrwrAxc+sYsnhDvB3E562FeDyOeDxOLwZFUWCxWLBs2TL89re/peGwDMPAZDLREmjf/OY30dXVhd7eXjz66KMIh8O4/PLLceedd9Il+okIBoMYGRnB4OAgnn76aSxYsADf+973sHLlyrwZRP39/bQj8XRiiFvnkGpTxRbasVqtsFgs57xOOqIdOXIEy5cvBzDe+6EoCtra2tDW1ob29nZIkoR9+/bhl7/8JdatW4fGxsYJL7DPPvsMe/fuhdvtxo9+9CPMnTs3Z3tB9Tk3bdqEp59+mmYDTReGuHVOMpnE6dOnEY1G4ff7kUwmCy6/k3Sx7PxERVGwbNkyXHHFFXjppZeouHPtDwCNjY1QFAUtLS1Ys2YNXn31VWzdujWvLZ7JZHDFFVfgd7/7HU1P0xJRODQ0BK/XW3C7YjHEXQaQmXui/jK59smXeFtdXY0jR44gGAxOWDqNvM6yLObMmYMHH3xwch9gAkZGRlBdXV2SJGHjgVLnkN6P5G8tjVMZhoEkSXmX6tetWwdJknDgwAFNY5iqqUACtNR/yDj/+te/4uabb6b9dqYTQ9w6h+d5uoJosVg0p3qROPBsFEXB3LlzIYoiurq6NI8jl0C1/pnoeJ9++ikWLFhQklbehrh1jiAI8Hg8sFgsNDa7EFqiCAVBQDgcLqrA5nTz2muvobm5GfPnzy/J8Q1x6xhFUaiHhOM4Wu21EJlMpmCV18cffxyHDx/G8ePHp3PImslkMti3bx/q6+vhdrtLUhDTELeOIbmQqVQK8Xgc/f396O3tLSgE0ro6FovlfJ/kNcZiMfh8vhlt5UHOn06n6YNyqe4chrh1jizLNOu9sbERc+fO1SQGURRz+rkJDMOgvb0dhw8fPi+mSSAQgNlsRm1trSHuCxXS953UL9FawrjQjMhxHO6//35aIm0mYVmWVrNatWpVyWoFGuLWOWRlknQn05pqRhZxJkIQBFRWVqK7u3tGTRN1WbZSYohb56j93MFgcFxXsInQ0kG4srISV155JbZv3z6p4KjJMjIygqGhITQ1NRVcbZ0Khrh1DsuycDgcNAtHaxiqllreoiiitbUVfX19mloAThf9/f3o6enBokWLpr2EmhpD3DqHVHgl3gVSI7sQ6uashY5PGq3OBKTOtyzLtEtbqTDErXNEUURFRQUYhqGRflpsVRJNWIglS5bg8ssvx7/+9a/pGG5BRkZGsGvXLqxcubJkizcEQ9w6JxKJIBQKUX+31kRerQV3LBYLHA4HgsHgdAxXE/F4XHPD2KlgiFvnMAwDn8+HkZER9Pb2IhAIaNpPywMlwePxwOfz4cSJE1MZqibS6bTmu8pUMcStcwRBQF1dHWw2GxoaGjRlqJOC9Vp84izLoqWlBaFQCAcOHJj2JF1gTNDENXn8+HGYzeaSFJvPxojnLhN4nkc8Hkc0GtWUnU4eQrUI3G63Y+7cuTh9+jR27Ngx6foo+RgdHaVRje+++y4URSlZhr0aQ9w6h3hLUqkUPB6P5tbVJpNJs03r9XqxceNGvP7669i2bZvmVVCtRKNRsCwLs9mMaDQKt9sNn8+HysrKaT1PNoa4dY66kLwsy4jH4wXrcwOgzZu0xH+Tmibf/va3J6wjOFkSiQT1u5PPU6pOxWoMcescnudRVVUFq9WKSCRCM+ELeUIm6omTC5ZlS2YqkM4OM43xQKlzEokEBgYGIEkS4vE4bWxaiGQyqSklbSYgJSRmWuCGuMuETCYDm82mOUnYbDZrTkmbSWZS4IZZUgaoM9m11gokEYRaTJPpjAgsZpGp1Bgzt86xWCywWq2QZRkWi0VTOw0SUjoTCyW5zq2FmZjBDXHrnHg8jlgsBkEQ0Nvbi2g0WnRx95nmfJ03G0PcOkcURZhMJhrhp0XYiqIUTBAuNXoQuCFunUMybziOg9Pp1FxPjyx5n0/Ot8ANcesclmUhCAL9W4tgyaqmHjifAjfEXQaQWtuhUEizv1hrssJMcL4Ebohb54iiSHviFLM0Xkym/GzF8HPrnFAohOHhYQBjTZuKce+db5tXzfkYizFz6xyz2YxEIoFwOIzu7m709/cX3IdhGM0VYWczhrh1jizLtMXH4sWL0dTUVHCfTCYDu91e0szycsAQt84hLj2O4+Dz+TA4OKipVqC6PfaFiiFunSOKIqqrqyEIApxOJ8xmsyb79Xwtv+sJQ9w6R11xanR0FPF4XJMrsJgE4dmKIW6dw3EcLBYLWJaF1Wotqg/lhe4KNMStc1KpFK2zTfzcWmZuSZJKkjJWThjiLiMqKio0p4IVm2Y2GzHErXOSySTC4TAymQxCoRACgYAmb4ksy4a35HwPwGBibDYbBEFAMBiEzWZDJpPR5C1hWbakRSbLgQv705cBsVgMqVQKFRUVtJxxIdGSeO5S1+LTO4a4dQ7HcUgmk7Qgpt/vL5t47vONIW6dw3Ec3G437HY7OI7TXL0VmNlMcz1iiFvnWK1WeDwecBxXlJlBMnb0FBk40xji1jnE42EymRCPxzU1SlIU5bwUwdEbhrh1DmmYGg6H6UOlFlegIXBD3LpHFEXY7XYqaC0VpxRFoTUFL2Qu7CWsMoAU4RkZGQEw1kaEzMr5ICGvpEnUhYohbp1DPCR+vx8tLS2oqqoqGDMiSRLMZvMFLWzAELfuURQF9fX1uPLKK7F582Z8/vnnExa4ZBgGgUAAK1asQDKZ1GUxzJnCEHcZwPM87rrrLng8Hlx00UWYO3fuhA+V6XQaqVRKcyvt2QqjXMiOUINZjeEtMZi1GOI2mLUY4jaYtRjiNpi1GOI2mLUY4jaYtRjiNpi1GOI2mLUY4jaYtRjiNpi1GOI2mLX8P6hSC4LhF15MAAAAAElFTkSuQmCC)
A 10 kg block is connected to an empty 1kg bucket by a cord running over a friction less pulley. The static friction coefficient is 0.4 and the kinetic friction between the table and block is 0.3. Sand is gradually added to the bucket until the system just begins to move. The mass of sand added to the bucket and the acceleration (in m/s2) of the system respectively ( g = acceleration due to gravity)
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)
Physics-General
Physics-
A plank having mass M is placed on smooth horizontal surface. Block of mass m is placed on it coefficient of friction between block and plank is
, where k is constant and x is relative displacement between block and plank. A force F is applied on block where F = at, where a = 10; t is in second. Find t0 when relative motion will occur between block and plank
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)
A plank having mass M is placed on smooth horizontal surface. Block of mass m is placed on it coefficient of friction between block and plank is
, where k is constant and x is relative displacement between block and plank. A force F is applied on block where F = at, where a = 10; t is in second. Find t0 when relative motion will occur between block and plank
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)
Physics-General