Physics-
General
Easy
Question
Consider the shown arrangement. Assume all surfaces to be smooth. If N represents magnitudes of normal reaction between block and wedge, then acceleration of M along horizontal is equal to
![](data:image/png;base64,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)
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along
ve x-axis
along -ve x-axis
along -ve x-axis
along -ve
axis
The correct answer is:
along -ve x-axis
Related Questions to study
physics-
In given figure all surfaces are smooth. The ratio of forces exerted by the wedge on mass 'M' when force ' F' is not applied and when ' F' is applied such that ' M' is at rest with respect to wedge is
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)
In given figure all surfaces are smooth. The ratio of forces exerted by the wedge on mass 'M' when force ' F' is not applied and when ' F' is applied such that ' M' is at rest with respect to wedge is
![](data:image/png;base64,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)
physics-General
physics-
A uniform rod of length 60 cm and mass 6 kg is acted upon by two forces as shown in the diagram. The force exerted by 45 cm part of the rod on 15 cm part of the rod is
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)
A uniform rod of length 60 cm and mass 6 kg is acted upon by two forces as shown in the diagram. The force exerted by 45 cm part of the rod on 15 cm part of the rod is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXQAAABUCAYAAACSuMzRAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AABx1SURBVHhe7Z0JXE3pG8cbNPZBjG1sQ7Yx1jEGEalUCNOQfSlLxMgWMxgaYxnGUrYoS9n3fTcj2SJkMkUbpUVKtGlXv/9533vS7XZv4t96er6fz/Phvvfc5ZzO/Z73PO+mBoIgCEISkNAJgiAkAgmdIAhCIpDQCYIgJAIJnSAIQiKQ0AmCICQCCZ0gCEIikNAJgiAkAgmdIAhCIpDQCYIgJAIJnSAIQiKQ0AmCICQCCZ0gCEIikNAJgiAkAgmdIAhCIpDQCYIgJEKBCj0u4jkee3nBJyAYCRliYa4kITw0HIly22akpyLm9Su8iYlHYlISUtJUv1FaUhxeRb5CXEISkpMTER0lvC42Aeni8wRBEFKmYISeFolDKy3QuWV9VFAvi4rVG6CPyXScfhAmbiBPBlJT4vDwygHMGGYIrQGz8VjOwOlJUXA5tAVzJo9Anz59YGQ8Gk43QsRns/Mm6AH2bP4TE037w9DwR8xZsh7n7/giRXyeIIjSy2uPIxg/ahx2uTwVS3Lyxu82nBzssc3BEY6OjnDYZg97p6Pwi4jBo3+OYPMGO2zYuAlb7Lfh1C1/8VU5eeHtih1bNmPzFnv+Hps2bYTzyeuISRI3KCAKQOjJOG4zBBo1G8LQ1Aw/Tx0PrZY1oaamhkqafXHCK1rcTkZGwktc2m+Hcf3a822qdZqEJ+JznIx3SIiJRMDDC7DQbcq3qfLtYFwOSBY3yCI9LRkxr8Kw1awDqrU1xbWAl3iblCpcMgiCKNW89cGs3vW4P6Y5uouFCmS8wgqT5nwb+ajQZiQ8opMRGfQEZ5xWw/DbWrz88wbd4HQ3QnxxduJfBcPzxllM7dMQauUa4xf7U3jkF4zkNHGDAiLfhR7ndRBDB47C0YcvxBJB8eH3MU3va34Qekx1QJxYzsh4l4Z3797hjddJdK6khi86TckudDle3XRAq/Kyg6xpNBc+seITCty3t4DO+L/wRnxMEERpRqhkLjNFJS7oWpi320Msz07I5bX44dt2GGlugYkTzGFuZgYz8wlYf+y+uIWMWN/z6N+iCvdQrfbDcSM0UXwmJ+7bzdCsqyUCU8WCAibfhe5zbg/2Xs+p5ODLf6F+GTVo9JgOHyU5kIznN9C3rlD77jBZpdBf3tgJ7XZNoVm7Ij+YfaY7IkZJ9dtty1Toj1sF5ddOgiBKE/5n/4LRwAEYMegHwRuVMEeZ0FND8ccoIyw46C0W5EYUVpq25g5i0WbQbwhUkUp5eMgK3Q3mITBnQqFAyHehp6aoSHH4nEKnymqoqzcPwe/EMjnSg66jb73chR58ZRMGDJ2K00fWo10NdjBrYILdP1B8O7fNU6A3loROEKWd5LBrGNGrFzZdf4jDCw0FZ5RXKvTQv1ehZaPWmLf5DP4Lei2WqiAlCIt/6g294UPRWoN5SB1G1rsRIz4tj8fBGeja1xrPCjh3nknBNIoqIfbODjStoIYBNudzCJiRJ6Ff3gBd4ykIES4Z7rtmoCa7QlZsjlXnfMUtZJDQCYJARhRsJ+hh8C9HeE+3PbO0lQo9IyEQ83Rl+XUWGl9pYpCFDVz9lSlaIPkZ5g/ojUVnPOHqNBMa7HVlamG6401xgywkK/RLq4ehet1uOB+kvM9JnoXe3wxP+MF5i72/DMDnwsGs2EgXx72zMubFTegeHh5wcnLCnj17KCgkHzt27MDVq1fFs7/ouLtrFnr0mw5v3g8jGTtn9FQq9PRIL9gtssTYYYPwfav678VetVkPbL0aIG4lhyD0ef20MPOon/AgHjtn6aMMe021Ntjwd5BsGxFpCj3SDSbtGmL0elexICd5F7o5vOPFgtTnWGbakR/8elqT4fFKVlzchD537tz3JwkFRWkIAwMD8ewvGuK9jmNAT13suJNpgUSVQs8iDa/Dg3Dt0DoYtf2S74d6Qx2cfKxQUxeFPuPAv7LHiQFYNEiWU6/Ysj8u+L6VlQtIUOjxcJrdHz1GrkBYLh3CP0noAu8i7mGiVl1+MDuPX4dXGcAjR8tiK/QOHTqgc+fO+O677yQVbJ/Kly/P97FcuXLvyxS3o5BufP/99/jyS5kIi1ToSUGwGaGHaZtuiAWMNDjPlKVcrPc9EstUk/D8NiZpN+T70s1iu2AxORSFLpAUchOjv5PtexNdK3iL1wCPAxIT+t29C6E/+Ge4R+TeAfNThc6I9ToB/ablhIOpDrN153BzlzX6ma0uNkKfN28e/0Pr6+sjMjISb968wevXryUXbdu25fvZtGlTREVFKd2GQrrBzutFixbxc8DIyEg8+wuZjGScXzMROqa/4Vl8GlKSkpAkRHLKG2ybpiV8t/KYucMNicnJSH2X+xjyNw+c0a6qUEtvYYI78sNnlAidEeVxENoN1Pn+95y8Baye/uTYTOkIPeDSZgwZMgmX/VR0GJfj/xE64+nldWgtHHy1Co2gp9MdRhZ2EDMwRU6m0EeMGCGWSJOOHWXprxYtWoglRGlj7dq1RSr09OB/oN+4HGo1/wH6ur3Rs2dPIXqhT58eaPlVdeG7lUHDlh3RU6c/bE//J75KFVH43fhrqGl0w1n51LgKoTN8z6xEU+YhteqwdLgKj9MLoG04r+QLPfTWPpiPtsA5X8U9yUBMdCwUp2TJk9CvbITegAl4rETo7H1vOs5ALeFkYidU90kbi83AokyhDx06FBkZSjt1SgKWTmL72bx5c0nvJ6GaVatW8XOgqIT+7pkrzPW/Fe4Sm/E7xaz4Gl9WY+NXPkO1WnVRr0l7LDnwQHyVKtLh9LMOajbtBzf5NHouQhe+AVw2TkIN5iGNljAZYYBegxap7Kee3xSI0F+474VJH10sdnZFcHAQ/P384O/vjyeebnBePheLHS8jQbHvYrgbDPjAIgsoaVfmvLi6Cb37joOvylFXcTi40BjlhIPZwcwO2ScZKDpI6ERpoaiFzmDnXnp6Bv83KxKwQ2wUne38AOmsTNxeNbFYMbwzuo7elCOHPr9/DxVCZ8Rg5ywD7iH+exhsg9CSObAoBd7nN6JDNdmOVKuhgSqVK6FSJVmULyeUl20Fp3tyyZCMVLwKe4Yb+5ehLjsAlTrA3sULwRFZaZp3SbF47v8YDnMMUbZsQ6w+9wBPQ1/lqOVzUkKw0LAN2g9dWuxy6CVN6DExMTw3mlc+VugvX77ErVu3+L+ENCgOQldOCpysxEbRvZ5imYzUxFi8jMh5Px9xZxt6ddHFHg+F51KDML9fN1gdyiVlk/QUS0xkbUoNjW1y7RCSn+Sv0DOicXbrYkycOAlTpkzGBHMzmLH5EMQwN5+I+baH8Uq+fTQ9Du4X9+OPBXNgaTmNx3ybNTh1i/XxlJH00g/Hd63HLzMthfedCuvFf2LPubuIVzZCSSAhyB3HT7ngTTFxZ0kSupeXF/bv38+/M+u5cOjQIfGZD/OxQo+OjkanTp3QuHFjfn5s2bIFN2/eREJCgrgFUdIovkJPhMPULvy7zdglPzdLIg7/Nhh1G7SG2eJtcPMKRMSLZ/j7iB2GGhhi+eHs87gw0sJvw/jrKjD646JYopzUsNsw/aYqNHpZI6SkDv0nclJchc7EGRQUhGPHjuHnn3+GlpYW6tfPGljBGjdZr5y88ikpl+3bt7//PBbVqlXjF5Lx48fzwVi+vr6Ij1faaEIUQ4qv0JNwaMkQNGqkiT+OeYlljBRc22aFxpVZLzk11GnWDr109PHTGCscuvVM3EYkMQpXDmzELPPBaNXoK7TuNgDzl67DlUdZExEqEn7DAdPm2yIwq2t6gUJCLwSKk9B9fHxw+PBhLFiwADo6OlygmTJVDDs7O/FVeeNThM7SOqz/suJnZwZL1XXv3p0fQ3a38OSJqiZzojhQfIUOpKelIiUlBWnpiudmBkK83HD84D7sO3gCN/99ikRld/9sKu94loaMRkJyChLixP+nfGBO3Ix05PjIAoKEXggUldBZ/9uQkBCcPn0as2fPRu/evdGwoWywxIeC1ZI/FjaQiL22VatWYkneOHnyJD7//PMc30FZsO/PLkTsmF68eBHh4eFIS8vPSabTkZqalocGM0IZxVnopQESeiFQmEJnKYoTJ07AxsaGD2TS0NDAZ599lk2KeYm+ffvylAdLieQ1Mi8WderUUfq8qrC1tUXNmrJFUD4mypQpwz9r8ODBWL16NRd8WJiyVbHySOoL2E4zxYQlzlDaFJwWjX8Ob4Xtelv+nW3tbLFunSPcgz88zqK0QEIvWkjohUBBC53lwh0cHNCvXz/Url07m/RKW7Rp0wYTJkzAjRvyw77zhusmc6gL79FkoA2UZUVDrq5HPYXPU6ulg4sBhZQgLQGQ0IsWEnohUNBCT09P56mH48ePw9ramou9SZMm2cUj4WB3Idra2pg4cSI2btwId3d3vH37cZKNcD8Ao1Y1UE69DNqaLke4WP6etDAsNzOCyZSl2LBhg1BDX481q9dg/9+eKKTFaEoEJPSipdgInS1DJ1UKM+WSiZ+fH8+dL1y4kDcqVq/Ohj0rF6KyaNeuHc6cOYNTp07lOb7+WrbMIOspw/LiyrZRDPYZ8+fP5+kTxe+gKjJ7wsycORMHDhzg0xP/X10doz1hNcwECxbMR6eaZaA5eGkOoT87+yeMhsxFqPiYUI6UhZ6aWvwv3UUmdFar9PT0hLOzM3799VdJDy4pCqHLw1r2nz59il27dmHSpEno1q0bKleunE2SisFmzQsIUDVmVzlMsuy1H9soyrooKn6+fLD8OquBT5ky5X1XxuTk/OrYm4i9C0wxdNFRRPuc4atqNVUUelIIFgxogRoNOsJi/jIcunIPsbnP68R5l/wWb5NVb5ghX4nJUFGhEX4nJQkpC93NzY1XPlhlhf2eiiOFJnR2dWNpAVYrmzVrFu+pULeubNpb1qhVEq5+n4oqoWekvMWdk/ZYsm4/XqpeZ5YT+fgm9jrvgvPu3dgthLPTLuw+ehEhn9BFOy4ujp+cjo6OGDt2LJ/rokKFCu8FmhlMoB/Dp3RbPH/+fI7P/eKLL3iPGXaeZNbAExM/cIA+Ed9TK6DXfwoesJXLfQ/j24o5hR52yxGda1d6P5RbTa0KtEytce2p8oMf8d8lLP91NqZbTsYIk4EYabkULuLqNwlvXsDt/B7MGm0C661XEB0bjO02FtDu2gVaesNgf0HWLfPFgxOYOXoAunbpAoPR83DVr7hMZJE7Uhb6ixcv0KhRI75/zZo146nNJUuWwMXFhc80WRSVNUUKVOisx8Hly5f5H7l///681le2bFnxRyELJpLisLpJQaIo9PS4MNw4sxPmRt+hfBlBYFoz8Cy3lG9KMOb1lZ1I8tHUaAGC8+E6GBsby0do/vHHHxg4cCA0NTX5+7M+4P/+q2q+ipx8rNDZ53bt2pULPLMGzu7Y2Lw/rMtlQZMc4oIxhgbYfC2YP07z3KdU6MnxUfD3/hcuZw9iubU52taXXfzqfjcarsHZ/3D+l2yh/b02lh90RUhoGLzPrkFjYdvKrUxwLTAej684wUxfthhC6wEWWL7SBlY/z8B084HQ+EwN6l9pY/W2rZhlNhLmk6dg/OCuKCts28hwAYKSin9tXeo5dHt7e75/8sG63LIeXsOHD+dtOK6urh81ZUZ+kq9CZ3nMBw8eYM2aNRgyZAjvcaC484oh9SllGYsXL+b7yoUuPE6PDoLrlTPYMvcnlBfKa+la43kuKWDf4zbo1KY9ho0xF2rUYzBm9CiMGjsBO/9RGMmWTwQGBuLcuXP89pLl4fPKxwqd1XhYDfzevXv5mELJK5Gwm2IMs1XnkNmLPdVzv1KhKxLhcwWT+jTl+9p1qgOiRc8mR9yEcZNK0J5zWFbACcfvP2pCvezX2PhPCC+JvLiCzwraUGcSXJ5G8TLhfg27Z/fm79ll7Eo8Ccs8ISJg3UtDKP8GB3yLf/dI1mDM9oFVDKQKm5KX7aOqYAu9sCktRo0ahc2bN/PpNArqDlOR/0vorBbFBM7WEWS1q2+++eaDuVnFYK9jOSk2/FyqwVJKbF9z5NAf70FzdTXU6D1HtdCTAzBviCGWnf64fHZ+wfLveeVTUi5FQzru7l2MYZZrsvc3f3YK7SupQXPoanzo55cSeAkGjdWh9qUergbLLkb/7bbAZ2oaWKlwoU14FQzvJ08Rnyozf8y19agjHKcfpu/M1kPmpoMFP34Ttt4TSxgpcJzUXihviM3uxWWGf+UwaY0bN47vAxOast9CSQ+WMh45ciTfx7xG1apV+W/DysqKV2BY22FBpZg/SuhM4N7e3nwRWAsLC/Tq1Yt3GVO2ExQ5w9TUNJvokr334tsKgtB7qRZ6wIlFaNqkHRbvvIKAcJboLb6UFKGnv3RBP82aaK0zDFbTp/JKBQsLUz3ULKeGL5p0xnCzKVh/8KagU9Vc/N1A2F9NbH8oE+2J+b2Ex19inWv2hYIVic4U+jTHbNOy3twmE7rZZjexhJEoCJ0tHFL8hc7mBZI/3ymUBxsr0qdPH1haWvKOCo8fP863FONHCZ3No8G6iuU29waF6lAm9La5CT3OF9O0ar1/feXazTB0xirce66waK08qa9x+9JROGyyxQb7nbhy1yeHlBIj/XHh1Gk8CJTdwj97cBW7hRNr3/ErCI7N6m0R5HkdB3Y7Y++RC/B/9eGUSEkRetqzs/ixSws0btQA9evVQz0h6jdoiPq1a0D9MzWUq1gVteo0hOnCvcjtZ+Z/eh6qV+mEw49lF9qTv+gJ+/8Zxm+TF7JIahJevX7N0zvva+iWDtmEfmPrZH78zDbdFksYiXCYyI4rCV2K8cMPP2DOnDm851Z+8EkpF7Ze5PXr17F161Y+7SmblS+vc3HIh7q6OpYvX867okk5WGs421/FlMuHhP4u3BMbllhhwigTdG5Z7/1xq9m6Hw7czdkjOtbnCqxGDMS4Gb9h86aNmDuqJypX+QqD52xFKLvDe+ODHatmQ/c7NuioJqx3XMTpHQvQvXUDnstn793R9Hf4R73GhY2z0Ll5XS44Vt6sz1TcC8/9NrGkCD0jLQEvQ5/ztgImIRbPg0MRcHEDWgp/j8YGs3E3MBSRb+JzndPF3X48WvSaDn+xXfSR8zTeE6Z296nwUcjZeJ1xwpZDrlzo8a7SFDobzMXaxNg+sHEMyn4LJT1Yoz0b28H28WOD5dZZu+LkyZN5DzPWESG/G0/zpVGUzWt9//59rF+/nkurffv2SrvBKQYbTMJeI3VY1ya2vx8r9PdbZrxDfEwEXPavhf43shr7F98MhWtIlmBTX97C8E710W38OkRkdoaIe4gBdWTHes7+x8JGbxHw8ALGdGGrk38B/eHTsMn5MLyeh+HFowsY3pENPqqOPkOn4LcVtrjmHYyXQfcxf2AL/h6jba+Lb6yckpNDV4HPEbStKFy8TFbIrXaVgegXgQiMyN6bJSP6ISYb9sbiI1m9gBLDXGDcRLZIsLb5Crj954fngb74e/cKGBuPxllxKfj4Gxu40LtO35HtDsBt+1T+2on27mIJIxU7LVjKpRG2euRyZ1ZMYL082D4MGjRILJEemb3WPhSs9xYbmzF69Gg+1z/LnbPZRQuSfBG6IqwGz7oisulXWUsvG0FYrpxsvmHFYM+Fhkp7/J2qfugfTLkoIT7wKkZ8J5uvZaDNGVH6yTj5W3+ofd4Eux7KJVgykoWathUGDhyJfW6Zs5OkwXFqd+H16piw0UUsk3Fh1TD+vt0tt2VrFPQ++isqCuXfT7QXPkk1JV3oqR5OaCR8/1r6C/B+iq+kIMw31ES95l0wz24/7ns9wa3zezBzjAlmrDmJ7P1O0uF9+k+0qy12zVX/AvW/qoOKGi2xaN8D4VkgJSEWt7bIcuW19azxJCoWKWlpSIiNhNPcPrxcZ6YT3sQmIC0tBbFRvpjTW9ZONX3XPcQlpuR611DUSL3b4t27d1GlShXZ31chWMYhswbO5lZiq3GxMR+FSYEIXR72w2aCZwNZ/vzzT37lZr1h2M5nHohly5aJW0uT/BQ6I/SqLZp8Lgih50w8ZwVJ/pjWrRrU6hvihpLxJ6lp8v2Xk7Ddkgm9Cn47Kj/RP3B9yyTZ91x5XiyR4Xd2JWoK5R3G2iK307OkCz3tmQsmGxtgnM2+rAXG0+NwbKU5WjSshRq1G6FzDz2Yms/ErgseKhtMgx+cwW+Wo6DbuzcGj52NY3cCxWcy4Ot6ADPNTWFgYABD4xFYsvkQAsLC4HLADhNNjXm58bAJsNt3DSEv/HHI7leYDjAUyvti6PjZOHzTD8V5kgwpC531TDExMeH7x4LVwDO7J2bWwFm2oigpcKErgw3zZ1Od/vXXX/wA6erqIiKiuKwAmv/kt9CR9hSWXWuicqsR4KsjRt3D0ObCSVZXF1dUL54ikiwKvTJ+PZh90JDr5on8e/649JRYIsP3zAou9I7j7CQt9NyIDgvAvx4P4RMY/r7fOpETKQudtRuydDKbBI61H7IceGHXwD9EkQhdHrY4AUu5FFbH+6Ig34WOaCz/qR2adLOSTfMa7YnxHYU7nrJfYZ0yo6clIOCJn9gAR0InCg4pC53Vvot7xbPIhV4ayP8auj8m9WoJ0xV/yx6nR2LVyG/5Z7QdtgwvFaqQ/53ZgF/+OgpZsx4JnSg4pJ5DL+6Q0AsBVUJ/57OfDyyq3tsaYUoSsnERgXjk/TTHfNt3dsxGN90JcH+VlRv3ObUM9XgXw4roN30tbns+hr+vNy7sWAKdnv1xwDMzt5eGXdO0hO0qY+GR/8QyGbe2yhrrflp+TiyREXBhlUzoZpuQ23WHhE6Q0IsWEnohkEPoGe+Q+DYOPkcWoapQrla/P/7xe42EpNSsHgzpsdg2pRvUK9ZBf4vfcerafTy6fx2OK63Qz3gsjnsq3PqlR+PQkuFcvOyz1NQqQKN6VZSp3Bhzne/K3jc9DQkxPpijJ+vTbvLHMcQkJPG56BPfRmHHTDbSkdXE1+FFfALShPLkhHhcspUN59bQmopHr98iVcWKtyR0goRetJDQCwF5oXOSgnF0y5+YMnIQevboAS1tPYyZag3nCx5Z3QUzUuG2bwm+b1IX5T+viAYt2qN334GwXGAHjxeq6snJuHNyKyYNMUS3H7phwJhZOHIra97mtNePsWPlHBjraaNHDy3oDx6Lv5wvICw8CEc22cC0n65Q3gM6hj/h1/W74R8Wjr/3rcf4Hw2gJZRr6xrh59/t8V+k8v4dJHSChF60kNALAVUpl7wQ//IZ3G/fwO27DxH6ung3HJPQCRJ60UJCLwT+H6GXJEjoBAm9aCGhFwIkdKK0QEIvWkjohQAJnSgtkNCLFhJ6IUBCJ0oLJPSihYReCJDQidICCb1oIaEXAplCl/r6qR07smle1fj8+ETphK0nTEIvOkjohUCm0A0NDREfH8+Xm2Jz10gl2P6wYIsasP3U1NTkC4ZLbT8pVAf7W7OFvpcuXUpCL0JI6IWAtbU1P8nZgh46Ojp8ilR9fX3JRN++ffk+ZS4QzhY3ySxX3JZCmsH+1qzC0qQJWw1LVnkhCh8SeiEwa9YsfpJTUJSWYIsgE4UPCb0QYPMmr127Fra2tnwVJwoKKcfq1atx8uRJ8ewnChMSOkEQhEQgoRMEQUgEEjpBEIREIKETBEFIBBI6QRCERCChEwRBSAQSOkEQhEQgoRMEQUgEEjpBEIREIKETBEFIBBI6QRCERCChEwRBSAQSOkEQhEQgoRMEQUgEEjpBEIREIKETBEFIBBI6QRCEJAD+B91tgyoBFR8OAAAAAElFTkSuQmCC)
physics-General
physics-
The monkey B shown in figure is holding on to the tail of the monkey A which is climbing up a rope. The masses of the monkeys A and B are 5 kg and 2 kg respectively. If A can tolerate a tension of 30 N in its tail, what force should it apply on the rope in order to carry the monkey B with it ? [Take
].
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)
The monkey B shown in figure is holding on to the tail of the monkey A which is climbing up a rope. The masses of the monkeys A and B are 5 kg and 2 kg respectively. If A can tolerate a tension of 30 N in its tail, what force should it apply on the rope in order to carry the monkey B with it ? [Take
].
![](data:image/png;base64,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)
physics-General
chemistry-
The end product (b) in the following sequence of reactions is ![](data:image/png;base64,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)
The end product (b) in the following sequence of reactions is ![](data:image/png;base64,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)
chemistry-General
chemistry-
Arrange the following compounds in order of increasing dipole moment: Toluene (I),m-dichlorobenzene (II), O-dichlorobenzene (III), p-dichlorobenzene (IV)
Arrange the following compounds in order of increasing dipole moment: Toluene (I),m-dichlorobenzene (II), O-dichlorobenzene (III), p-dichlorobenzene (IV)
chemistry-General
chemistry-
Silver benzoate reacts with bromine to form
Silver benzoate reacts with bromine to form
chemistry-General
chemistry-
The reaction of 4-bromobenzyl chloride with NaCN in ethanol leads to
The reaction of 4-bromobenzyl chloride with NaCN in ethanol leads to
chemistry-General
chemistry-
The starting substance for the preparation of iodoform is any one of the following, except.
The starting substance for the preparation of iodoform is any one of the following, except.
chemistry-General
maths-
If
and
, then‐
If
and
, then‐
maths-General
chemistry-
Cl2 reactwith CS2 in presence of I2 to form
Cl2 reactwith CS2 in presence of I2 to form
chemistry-General
maths-
If the two circles
and
have equal radius then locus of
) is
If the two circles
and
have equal radius then locus of
) is
maths-General
physics-
A particle moves in a straight line obeying the
graph as shown in the figure. The average velocity of the particle over the time T is :
![](data:image/png;base64,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)
A particle moves in a straight line obeying the
graph as shown in the figure. The average velocity of the particle over the time T is :
![](data:image/png;base64,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)
physics-General
physics-
In the arrangement shown in the figure, the ratio of tensions
is,
![](data:image/png;base64,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)
In the arrangement shown in the figure, the ratio of tensions
is,
![](data:image/png;base64,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)
physics-General
physics-
A dynamometer D is attached to two blocks of masses 6 kg and 4 kg. Forces of 20 N and 10 N are applied on the blocks as shown in Fig. The dynamometer reads
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+///3vtS6fd3r5Vm/hPh3vH3rQwaG5jlZ+tcKK5d0336pm4V123Kky0TFHHa06Mj3z9L9Dc+1TDt7/gGpGXrLBiJmas8+Yh2mrfBSYiSeeeOIa1lhjjfpsyy23rPHam23W/sRXd8FgMVcVNtAMOA2HWEQgB5+G6Whu3Zgw0OEYYBJ6HSjuuwxQC9RbbbVV3fN399131/cNAnmSuI477rg6QEgz+++/f2XGwFV9pE/tK99TDwNKm/xW32Q2mU7e3gd+ZzvyubTaMTQGddPGBO3TV9qbQlK2AX6EbLs2woV+zcnqOrBy2vDdQxK+BHGJX1d9AP/6JPGvL4VmPl8bumidQyL8mDXXxKFgTMNrzmNxOf7hF21r0jf35kvmYw4Ncj8MwWDMqG+OF7RIvcS5qpf7TJ/tdW8sOe0LQ8JMbfWydikkc825nmWcf/75dXvYcMMNVyaddNLqMOQ3E7LtYtY///rXv9a0n/cKBcX2Gt6+wWA/DAaJYU464URVG33/nXerRrtt0PAJxhm3/HLqX5QF55m3moVt3TnikEPLeGONXZnra6+8Gg3sEGrUG9x///3Vq/mPf/xjVZ6ssxISbFfjTeyKuTbbTXmQR3fCYJuFSSsWxDE6HbbXXnuVnXbaqey22261gbvvvnvZe++9y2233VYHYRJzgxVocDLjQQHmCOYLnUnyguTbb7+9Pnv55ZfrAjZPNyYPNvkZZpihHHbYYdWsYaAoz5UZxJdFHDmHAasvD00dAs4444yy7bbb1jb4dqZ0v/3tb2s7tFseBnSzPepGIpQfBwHB77zP313juitoi6CPtPf666+vA9YkysmqHdpDEHHvmX5jOuLwoK/ho5lv1zbl/Te1tWv6ruHr0uV9MzTf6Zr+237n/TeFr8ujeR3Y/cCCsaEP4PGggw6qYzDniPkjThp9JEjrvczTs+b4aj5r/s64en/AgeWgzsAUd1AQOte8/7rf+az5+0C/4/6AuDbLa5abv5uha/zA7ptp8r4Zmunzd9f7TNP1d6bLOGNYHxjT6AdmmsTY2DcHjH10Ak0x972nf5hUve9dfZQOQd0ZchwJ6iNgbuawNpi77pPmZtuA38Ybpmr7jTHIW50mynS7zjrrVHwA+aARzL4XXnhhOfPMM2taHu0YrtPCLrroonLxxRfXtVvpOSHZx9ozAgbbO+j7YQcfUsYefYwy/9zzlA86tdHf7bJLZa6TTvSzsuC885WH7n+gxu+/9z51fXaNVVcrb7z2emWu2kIB0B6maFrqH/7wh5redhwMFZMnIFiHPfTQQ+uzxIf+9G53wmAxV5V1kgxJhzs3iWattdaqi+EYrP1SGky6Oemkk6o0VZEfDC47miaYmqUBkMzNwJYmfwM29Y022qj8/Oc/rwvWyrNGsN5665V//OMfNcw333wVufZAIVo23k8//fR1Aligl5/yn3vuuTrR1JXnHPdznnM86XSEQUM7XnXVVeuRcxi6CUVT1gZ1M+hccyDeeOONVRpMN3E44fIubyE73v7FjOuuoExBneBMPUxMgg2cpKQO7/BjE3b2kXgmmF/84hcD2qZf5SVvbZRftk9olumeRCxIQ+KVT8bnO/JRN8/kLZ3frtJmGQLCIC7jXcXJw3P5poDV/C34LX1uQ8i8pEkpPn+7l794v9VHGerUvErjXnnKcN/MRxAnnSCf4YcffsAYscdVeniVh2euzbwzeKeZtzTus0zla5vf8D9ylMX0hmCNNtLIlcjx3BxlhBHrPQI3xiiBt0hDYxDHoUT6/J3vjzXGmGW0SDtGxCk726NcZSk76+N54laajDd+tC3b4j2akOeZxtVWEVfP3UvPCSfHr/yzPOWIy3Jdc+ypmzTeEycPeBZH4zn99NMHaEXGv7Gfv//2t79V+oHpqOvPfvazWhf9ox3ZZuV0d9BeeFQHdTvmmGPqnBXQWnM6gzmeNBVzJRTAGRrNIuc5msehyVzHlEDSBsz1sssuqwwWc8VM0UqM7fLLL6/bxlgo5Q13vIU/+fCj0vuzDsXp6COOLMMFDmedaeby/rvv1bj9gokahyMNN3xZeokly4vPv1Dj9/zdbmXUGJvrrLHmgLQsJb072+IUM6ZppmrwwAMPVL6gX+EEf8BvgPqgX9rR3TBYzFUH6DADkOu2CZINBg899FCZddZZ6weefSJLIzUW8U5A3NNk3BWklT/EYGgGxOSTT161yGeffbZep5hiijrQMFv2dmUZNLRQIM47JpKBYHBhnq7q757UlxPVviiblZkRPDeIeJ9hxjlAE7p22E033VQ7FhHQ+dYFbNa2QVuwuXmllVaqzzKuuwInBeWqA3yoIwnYRNCmNAsD1zQLAbiHT7g2gOW15ppr1nyt1XCK0C7x1l78tsk7n7mHC1e/WRvgxb08mu9bwyEYSaMMgk8zjTzyqj3ivSM/gp08PBPUJTfIN397X5w9ciTgfE/wG47c53vKEU/Qyvp5Jk32sXvveea39/J98eppHGXdpbeGlXkwZ6mfe1fxmb6ZX+YpTjr3eZXec8+0ze+KnyWXKCsvH7heYcXqULLKiiuVFZZdriy1+BJllZVWrhqC39KsvsqqZcXloh/imfWx1VaO+kd6z6Rd9VerlOWWib7zO9qlvBxXrln3rCfcaoN6COJ4qOrXrLNxAreJR/HirOX5LZ6GJY38xCc+PZMW3sQlfpvleU8+ynQ1rlxZvswFzDXHvjlt7OdvFhtCJRqz4IIL1neVqQ40PGUoP/umu4J2aSucu1ovtRUFqDtLXc5ttM4cTvorjjaOXmsP/5V87p2c+9IKnp177rmVtpn/aAclgqBBSCFkwFFaEJXfr28wtV6962EQTlo6/JBDqzC3wDzzlo87nZTOO/ucMssMM1YGu+ySS5Xnn3m2xlufHWnY4criCy8yQMu1zzWBkgXvzMJAn3GqMjbQeYIGXKi3Z9kmv7sTBou5JmCuJEDSMukGoeahi9EiktR3CE/m5J50aAO9dAaCM1ZJPn57Jg+DQnqdTsNlyqRpMscCaWiXpH7lYOAIFk2ZyQKQcmikpLvTTjut5iXPBJJQasE0VO8SCP7yl7/U56QzBJPJ+duAmdWAm3feeasWSyIUMGptcrXW69rdIcsl5a299tp1oiRzzQGYgy8nmngARyeccEIlRIi2Qc0KQOBwla8J6jc3ef2pb11ZJZQt+A2P4ryjz/MYs0wn3m/5+Q1vynAsm9/SGSeEK3HycC9Nvm8MycM16yHk73yWfZJ+Ac7szXHpVBd5e95si7Tq7PSaTCsvz9VHeum8L056bZHeVVrpss3e99sz78CfeHkL4rTNvXTwl/Mk26Icz91LAw9ZZ9cP45lj594PQvXaSy+Xd96MtsRvx9G9+/Y75c1XX6vrYNK89drr5fX4jai991bkF/fvRRppeW5+FNqId994/Y1aXvaROmu7IM4zeBKfdfVMO+FVnLZpi3rCj7jEn9Dsb/ll++Qln0znubwyPtP6LY8MiSNpCcIEJWMaIU6B35g39tEegGHYU8lkyvzp/ezDbO8PEbLtAq2She7444+vc1fd0cZkrjm/00fEmGQWpvVSRixndZ378qD9Znm0U0IF2jbzzDNXnGDo0047baWXBBeKDOiDmX36WT0owklMmOZO221fJp5gwspEH33o4fJujK2XX3ixnHLCSWXWGWcqSyyyaLnp+j/U8XfgvvvV7TkrhgCXzFWdtBXe9Yn2OnyFcpR1t/5K4ELrd9hhhwF8Ar/xnvZ0JwwR5mqP0ZxzzlnNLyRMg5aUR7oTn3uQdDBAIEiamJ5OSUmQ9I456kDrpDrVwNDRJCiTCAIhNJk0MwZNdf7556/vmSwkF4wU/Otf/6pM0+kd1157bc2vSlaRH6ZBomHC3nrrravJg+2eBnvNNdfU911J44jet4EvlzA9+eYmt/UmGABNpv5DAcJGEGE+McHgAKgbPKtnSqzJXD1z/B4866s8Fi2fwyeilnl5Nyc2yHRA/gZ59qnf7vPdBPHNuGZ9gLybRDDBe01ovtMV5PFNz78JmuVkOxLkmW1PaFprmoDQ5dp917p4hkh2BWm1vVmG8vVDAtzpE+n+A6KId94IQvPRx/WIOs4n1UEpiOAAh6WsRv/Iv3HP1Feh05mpCc02q5852hXUT/zAcJ792WzDt4G08INxdh0/TVCfrmA+0/jQClpc9p+6SZ/v/PnPf64CN82M8JwwsDb8UGCcoIPWThMP5oWgnuYbwUIb4YoDEOGa5s4ahQbngRHmreA973sHLjAnjkT33XdfZaLWPWmQ3sOcxaPXX8Z71aHps551TH0UzPHkE04s8801dxlrtDEqg6WRsoTc8seb6gERF11wYZlp+hnK7DPNXFZcZtky9+xzlC023Szyf7J88nHMjRin6kPRYSVgJVHvmWaaqTJ940C7peHsql8tCaq/Z2iednelFd83DDZzNSloaRrKPIBo0ySp58wOzMVMK9IZBBBAQ2B+lY65BTNzjzH5jUlDTjJjneteRycRMWA4gCiXVzCHKiYLSKc9MvUAi/ykK3VzTBaQVxI0E5rm6huZiJF1BxIZAeHmm2+uDFNn0h6+DUw+A5aU+89//rPGqaugHHXX/h8iqIP2GmjaA88cMsTpG2nU0SAVl3VNOPHEE2s/aRtNEWR6eSNy2TfuEVGDOYmmPIHf8O+3QLjRl5hPVwbkvZwQnilLnPTqZjz5DTLeVR1yrAgJyvY7J53y3ctLfNYxcaCe8nSvPerQdYImbrPMbJN77+QYVra8Mq281FXaJAyCdCDLzmfK9Y78/W6CsuTlKg0J33tCgi0RfR2IHkzy008+rcRPHJPdfzDRAOfBfhZpMF97FavXZ1xr2kY69VAfdVa/bL9ytSv7JkE69YMXQTppmjhNPGTexlK2WZA+NRLgN1wpO0E50gLvIvqIK7wnsLLYTkJ7IzgmeC/bASgGnCcxo3Sgkb+81F/arFt3Bu2GG3XQ33xCjjrqqFrvHNOC3/oix6Ery5N1VbTNWqnlMrTPe/LNtifIR5uFrwPP1KWO67jWL93EuOHYdPtf/lrPFr7isssqIz3rtNPLJRddXM8TBq+9/Eq59qqry4XnnV+PPbzy0svKvx58qG7lwVgdgfhJj08qTc21XnT6vPPOKw8//HBtk6DuAKOnzWuPsaLv0Ypm/3cHDBHmigkxE9AO119//XLEEUfUBWYDV3zuf0riQIqCJFtmDGxaKkLvyvwoUP0hRzARDRCIkgeg/dJUraeQqHj1WTvlHYyR8vYFJE/MVsjJoQ4Gps4wIDBmQTyTUX4CDIM1aK235Skm3wSEDFIub2WfCgPyFLQjIQd+d4asAxMcqwFBhMSexMmzJPz61O/Ej9+EFUIPSwRcA8+kkf/A3hkYJB6UqSy/EShWCaZ8JjpjwphJwGSMgQQCggkmrbHCkU375IeQ5iTSl9aKckxpA0tGgnomEBg4QTCtESTys27qKW/jLutOUufUYfyqA2kZSKfd8JFgoiubJUXeiTtpM53rn/70p9pu+UnLpJnP8ipvdTY3fIZOfuYR4pppco6ot2UZBPfYyPOYI44sF51/QelNUw3oj6F2gm0Tl19yaTni0MPKScefUP7219s6NNpOwGCrRhvAJHyZtIcfUfPmPd+EnFcAQUMAedhytsk+hcdKhDvTsUY5N9Z4hAP3mJp+1O9N3ANjhdcq/Of5t57LD16b41J80g44yXGpf1m7CJnKky7fc5941z5aK9rGlJwgTbO/uzvATQpf6OnGG29ccadO2ptM39VvfQGPXzcvgTYJKVzkb+8J8vN+tl2cvOFMvCsc17OFY3zV7VpxNb5y/IB+IeRViKj6dZzGWBsA8Z541hKnOaUg0RXURXy2u9m+bHteky50FwwRszAPWkwUU0MkALOotT227zQ5AI1HDBBE65o+oYUBYkau1m/FMzlAWE4wCMrBj4CSurjH81bGMBAcDJXmasHd5APKwfCsqebkyHxzYGDKnKUMDOYiWjPzMtu9BXtOA4PCXDFvplOabzLXHJB5zfvuhiwTrphNaKGInvbDg0EqjWvW0+RJiZ+kS0Bh9ocj/ZGDVVq/EzA14wC+Scnwom8dQo9oyhOuAcIqDUbBK9M+umGGGaYKAN6TD5MUYI6WJ+aDycM1hs9bXFrjhtBF2DKOuONzvCDkaa9xYYO5PJm2chz6bWsDgUOf63tjQFk5duHFerVyLCGkp6bgNBgWEmkRcQxVnsa28tLJAv54nCPY0lq7k5ZFhblLOvmps/ELZ54RCOSrrpYpOLRIy9IDZ5gDHKZFQb9Zj2Id+ulPf1pGHWXkMsbIo5bZZ5m1XBFawfXXXldeevGl6on5l1v/VM6JvuXFSaDkTbzGar8u11x5Vbnpxj+Wv/zpz3Ud7M0ImO4ZoXVM+4tpalp11U/qpP2IPTyZu3BHmMGYWKXgK/0ijAHtgQP9xJwJP9IJ+tTaGYsXMC7RE8Kr9LaBwJE68HZVNk1F+cahsQUHxmfON/Uy1nPMskQRntEs9URbjEvv5TsCxYE/iWD8AvHSyDPnS3dDtskVc+UkRqlJpueabcCYrBXDORw06+05nAnZDvfw4SpdCreei5O3fMTLM3EGt31ZO0LjTKtHPXy/c+3VARFObhLn3pUQ51kyYveYLyuJ84TrF3bi/ahorUvWM69Cxiu/+dzvxJPgvjthsJgrJAOMJJmRwQg0jrSEgOhcvxNMPuurJgimx+SCIZmIGUw47ySS8n15MmOY1LQXhAdztH5r3dZkQSRJ9Mq1jmrBnYTqPQhOZm2AIEgWxxFIHQBIxtYjmZxNdIv+iPa3AU1B2T5qjRCCrL8Ohy/BfXdDlolRISoIE4FC/TwT4EZdU0IUh1DBC8EFbjk0YXI54RK8g+nS6vSd5QB44JVJ6k9HMQSWYKTf4B4TgzOmewduL7LIIpWBWwfyWx8g1PJmXZCOp6Dxw8JgbR8TIQQpU1rHnymTwGe9PT14WTrkl5vNMSQehuom3jYueRKmjCUWCMyR6QkTlAcmgKF5Hx7V1XiVp7V7ZjbPzAfvywcO4E1d1R+hxhRODu3Xc+/zNfCeKxx5h2ZFWDQ+jWPPmCiNdXiShqDkPeVzUDNOjX1lw7c0yy6zTFl0oYXLgvPNX6abZtoy1WSTVw31zNPPKD//2cRl4sCdzf0rLrtcWWbJpcqvVlypLLzAgmXC8cYv0wUjPeOU0JKPPqZMP+0vyywzz1LmnXuesszSHZ7XgnYpD0PHtIwrgoT49GbVZ/Bv2USfXHLpJVXwhg+/+TUQGvS7PtCX6m4eGVNbbLFFHX8sU+klLD99Bi8EHkIVQTEZhrEr5Ng3ts15QKgzLtSHFSLTZ1rp5IPBaxsnHgKTuCTW8hOSbnQnqEfSEjTWOM69ncBzz7RDcK+N5qy5mrRI/TFHcdmObJur9wT33neVd+afaTyDe6cz9ZcumKQDIXgG56ESn3z0cWWcmK/flcHG77ofNuKc2iQe0+0T194R/0XE9+tDEw7hqLOu6qav1L9ZL/Xw3G9XvCLrCwfuuxMGi7mSWmiR1hoRAQyMR10OYI0Czc4BiKrJhPgatAgG4oAYuLdWaw9mDt7sOOVhkByGpEfkrAEq2wQ2uTFdhI00z8xoAiLSmLe6qYc85ace9uhi7og8pmrtwXNmOZKgCW0CD8qaK+aK+MqPRg10MiafnZ/XAQBFgyJQdU3zHYWw7AsSrDVXe/XgOOuSk82gVedMn1cEyHYlggaTmvfgKQcsoo4JIJT6g2bFZI/Z6RP9pQ/0rz6TDvFFGDEXTIoGAs9Mp/rm2tCwlguCv2AQ+rnmmrsyFWvjmJ1tXkyCiKS19xTQ5I2wY7bW0gly8pSOUMD0qC7aYvxhzK7bbLNNNe8KylYHmr16qhtCj8hOP13HnmlpnnryqeqNjvBrs7E8/fQzVI0asyaQPPPvZ2o9rfERKCybYOYYvzDhBBNWZsvMq64cRWj+DzzwYPWEnzLylV494ct4li9h4+WXXq5te/ChByvu54l5sVQwJ3XGoGh6r77yaj2z9flnnyt//fNfKpOdd865qlMJxumYueWDUd4WGuoroc2+EOlejjxprYtFmil/PlndLjFbMNXpI/1ykfaWm24ur0R/q4OxYN7Bj3mpjrMGnvhB6CN4oqHCvXUy9Ydvfand5hfLA9wYQ/pJvsabduhP+WLC+lS+tNTsT4zXfnV9b/nGeDPfAK0HzcgxioGk4Khe+pXwbBkAGOsZzANXWray5Y/OyUseaBy6ZB7kHBni8A3Zqof5B9Bgy3CWFBLUSz0JwUmPvYPueU/AaAXzPtsh5Nz2fs5x99ImLqVL5gwPyey8mybhunb/cWjLwSgxWlopLdRz6/2eY7Cfx/O6tu95ZxoaLh8BZmE+AlVA+KqDfmbbXZWrv7N87ZM26ytdxrt2JwwWc9U40pw9VwY+KdDkYvoBzcFXkR5BHDMG5sNsxtTC/CWfDLRfEzLfB8qiFZD0EVKMnJmP1oMZ0wTka10H4yb1k+gRWkzY2g+TaA4gRIEmZNLIAzEycZ3K5ExiYPLSaDEHBO/bQHtoTJg7UznQ0ZhV4iEnZQWT5/sO0BdXh2kbXG8HDtZac60yysijVCahLnDb87OOwZcDNwdvQjJXeIIXoD3ZRwgjAouxwCczJ4uGtmMYzPb77L13mTj6Y9JgFvpstFFHK1tusWW56867ar/lOmMCZwbjg7bEXGxd6d/B/JTbBPVhErYNDIMbZ+xxyrbbbDtgfbOOu5i0gPB09JFHVSY/ftRhwgknKNsHE36mMy3I/N95+50qYP0sGMB40a7jjj2utgOjbIJybgvBgMl3ggnGL7+Yaupy+mmnVckZWDMizYMng4Fut922keeEZZSRRop6TFlOP/20qNfbNV0TjFFr/qOPNlpZconFyxWXX17uiXH1XrQhAREDjwbDWfc365TRRx8thJEFYq5cXPu0Qie6+n7et9z793+UP998S1l79TXqvkP7Wf/2l7+WnkHAmoDIYcYLz79AGXm44ctv1lq7mpDvuePOegJPhc58EfDrrr22Ms4Rhx+h7v989LFHOx424K0336z1109zh7BkDGIKmGVXgDtjjnULAyRgmJvoQlewZMNfA8Nec40161hAXPV5nXtBzAEC27Oz7i++8GKlJZW5nnBCjQMIu3EnAJorwcl4YenIMZ9zpetYHCTwymAGYzrnp+UNSgLmmvMx6yjkHBf89lxwn3PdbyCt365oVdIrad1Lp81C5uN5Mi/vVlNu4L4y1GCO1TTsPnBrTCYzzTQYaHW2i+fWZn1JhwZbtdkIzMPKqAw72lDL0L+ddW0ydnHGjjHpXjoCljTZxu6CwV5zJW2TpK2DWZezdpaestkJzZAIGRToigwMWVmcVDifYJjuTUIDX77eQZA9l1awRpNOH0AaDNQkV2fP81gveTKzAB2JwGH4KQ0PrE0CUAdmbsw8nTeUJR9p3NdBEJMdsSW1VeIYfwZZHWwR6mCMa/0Sv0Fo0EkWaaUTX/M28CIPA7jmE8Ez8d5TDqJpoKqD8t/BXFdfs56ys+8++9b+EC+fOrjlG7/FZ70BzYowQ9OkNSRoD22P9kiwsg+ZxcDamMlYiUEnYGDnnXNuOfWUU8vss81eRgviitElfBQSeJ/eUY+oN0ZDk9pnr72r1jRWCFPLLLVU+UMIbr1iIgNt7qeMgNdfe73sv+9+wYhnLj+fZNKyfGi8V15xZSWScDpg7Sbgb8EIZ408mT3HG2ecah5NgD9mLI4W4J677ykzzTBDPeVos002LU93OtDUvtBHcB51/ec9fy/rBXMbd5zQiEMT323XXcqTjz9WvvqiX+nd67MIQXz6dmhNp596SjDXCcroo4xcZpzhl+WxRzuYS/8voh8D7198oU0diDvm6CPL2GOOHtrgjGW/ffYu7737do2XV6+enwS+Qivo93m56ILzy4Lzz1fLn3vOOcohBx8YOHk1+tR4ijSdeAJnnnZ61V7tJXTs3LFHH1OPmdPXTHSfBwG0//WkE04sc0Y/OZ1pkQUXqo5MdctOwJfR7s97djivYG4H7LtvmX3W2aKuY5WFIy1v0F6f9apex31ifFYGF/m/8WowwhgrM884UxknhDVm5auuvmrAODOejD3AFE9YIkizNpjLCdIlUQWEJlaJ+eebv/x6tV/X9WGgXOt3CLYxwAwJtZjrQlHPUWMMnnjc8TUt0Kd1jkX7AOZKYFZ+rrmaH4I6Z73NlZxLCHoS/zq3OpmB8acemAX8qZugTgPGaYy9/6AL6hNBOu95Jh/Pc35SGigXnMbMOXHNueuade5ab1f1zN+eyyOZpXuMipCSz5t4V47f2uheO/3mMMeUW+sZ9VdnV32AmWqPfbCVXkUYgPP4gwttrb+FgGYb1Ff5+TvrnqB89ci2qbtrd8MQcWj6oUGn6lwIzADp4l2BzpDGNe+/DrIju3aa318XALMRrY35sClgZF55NaAMMIykMsrOQTUA4jdGh2kKBt8AiHt7FEmA4hEOQbpqRonApFLXNiIfxK3Hhx/VSQ0QzbV+vXoZY7TRywH77T+AodY6ZD0669JsG+bK5E1zTeaauEUErYXRWlkXEnrHoP6MBBmTxcSSr8MITjnp5MowEW0aES/WP95wY93TBh81bcDdf7u9njvqk1SrB8Fcfpllqznz4gsvqqYi+UnLlHnYQQeXqSefIhjWqDWMMuJIZZuttq4TVBvrZI77fz/5VNl919+VOYJpbLLRxuWX00xbNlh3vfLow//qaH9n+X2DyD0WcbvuvEvdo7fBeuuXmWeYsWyy4Ublgfvur2kE6PH9yiMOPbRMEIxtvLHGiPqOViadeIKy+cYblLvvuK0ywq++ss7Uo9x9+23R5jWCAc1XNtpg3TJ7MM1999qjvPpyp8DSH9EifPUtt978x7Lar1Yqiy60QFlj9VXKdL+Yqhy0/z7l5Reei/GDCIeQ8SUNo2fZcL3fRLtHLOONPUYZe/RRg9HNHEy7wzO6Xx9awRcV92efdXaZY5ZZyzKhsa660spl/NDyMdrH/tXB4PUBAv6vhx4u88wxZ5kgnjuG7leR1u9LAvd5wg6iD+Bj+sDj6COPWtZec62qDXOKkk9dQ4uxCRxvt++ee5V5orxNN96kzD9PaLqhPdujCYwnxNz8ZO62hkgb5hhJqGNBopUCaRDNnM8C8/uiMT5Gjjx9oJvAQ0uqcyPq4kACONDPTz/xZP1wtyMdTz7+hEro9aex0kHkIwSwqrBEdWWuXSHrg6gngxPnd99+Mdej/GSKXQEj6dWp0WGuAxx9Yt6gE4J5oQ2eJSOqYzrKwVwtIfCeTrqWzFVdBb+7BvGZJhmQ38lck5a6T8cl+Wc7Mx/MLN/323UAaO7ghh8p/GiZa04ogyHBINHRBoPOz8ECXKU3ODL8xyBoQHMwek8Q900B8OwcFOZaGWYnUzNp/hna0a033VzuCGbyl1turdpS3WfYScCdmHNnPLv9tr+Vv991d3n68SfKR0HgkhgIJl0vWkJcOQZUb7sIntnTKD+QzBVROWgIMFemeJo/bd0zpvF8ZoM4YoY4IBzyffihh8q0U09dJg/t0mktzI40qEUWWLD8/ppr6ylB/SM98JUMRNuRfXfdfkc9n9Q5pJxvXn25w0yPwJxzxpk13bRTTV2/pMEhpzLE36xb8/BVjr404sDXGaeeViYcd7xK4B9/7PGy9+57lJmnn6FsvP4GFbfWh1LDPT3SwpM6PhgMxMb34X86TNkr3qkAXVE+OO7YY8rcs89aGeqqKy1fJpt4wjJGMLv99tkzKkmwCCL1yUdl+623CKFipLLtVpuXxx99uPx2p+1DKJg0mM5uoWlymlN2/yC2Pcraq/+6/PQnPym77Lhd+fOtN5UpJ5ukTDXZxOWG666OJDF++/K4VokvytZbbFrmnm3mYISrBXNbJLTnqctZp59aenzcwQjBQw88WDfrE1jODm3dJn64nTWEhovOO7988M67lXCD+/7xzzJ7CEDae5m9h5dfUc8YxmCf7fzuZm7nka94a7Te4/w0z+xzlLtizOb4kq/tPgQgzlL333tfxe+MUZ+Vo794byPg5q15yumNKda6K8uRNWWexJy9CHPSmr8Czcqc56y36y6/rd8I/dn4E5S9dtu99Ih5oo/Ug3ZuLrnHXAlrvtRy6oknlf4xV8wZ4ynnFRhU5ppMRlD/9BsYsOYZ3WRcPfboY+W20KrvuuPOckdcjc+PQ1g2VzFU5ZsvLE4EvDqP45p1MjeMY8z1q/4dc9NyCs3VVpysG/qWNKxrSLxJK7hnmUu6mbQRw0zQBt7U2iOPpKHN97UbDAw//4vwo2Ou2ZmuybCyM111sM6vTCzSCQniPTcBctDnu9J3HXxC199fF4C15kFhriYKbdIRco+ExrDCcstXQuZcV4xjvWAKzFYVYhJdddnl9fkUk/68LLrgQkFo/1QJRj0IoJOBmoAmaDUjBSFTxqehhWC4STTAkGSuwKlX1sUQQZo7opeTE64RCvVhZmU+feyRR2tbnNRi0zgT5Yy/nK4yW8eg3RMMLgEBWjq0IATbms1ZQYw54SyzxJJ1nTDX/k44/vgy/DDD1HweDo2LVuss058F01515V9VRlw1+qjLUcGgHUa/dmhjNq/7YocPOTu4fp3Qut5+863Ss8cn5a033iz7B34wok1DW8VQdthm26rpbbXZ5uWDECoqIQxixNS+9557lE03WL+8+tLz5flnnw4mv3AZK5jogfvtHX0TfdD7s/Jpjw/LRuv/JrTq4crO228b/dejPPvv0KDmn6dMPP64odEfH3mGYPFlCCPxTFrxRx52cLnvn/eEBjt/tH/KctZpJ5d333wtcIoo9ywvvfBsWWm5pcuuwajffcuWmT8FLqcPRjxJueC8s6pjh36+O/DpqySEiwsC9+DmYLCclsTDacI/oh8IKNNMOVVlwn+NMUcIwYg7cN+zmjONsT9ce11o2KsMMMVefP4FtT+Zku+/9/7KNDi2nH/OueUXwVwx4kdj3BurrCfW3q3XcyhMILBZ4+fRyzTLE5p/BB8K3sK5Pcs8RtiNN/NZv+0T2jFha5MNNqyCKIGTVUd9zRlj0tF7NHdM+MRjjxsw9vUpQdBcAoPKXMVl4MhFGLDkpE659q5c5+Ya5zNON32ZbaaZK45zzCdjVX6OV3XnNZtCczJXaXNOE3B5yDMLJyRzzTn8TUGdpe/KPC2PmeuWxtLRMwWgnN+uA6OZLfwImavOM2ANCkC6QjzENwcMMBgMbAPCO9IZMAajgdGcEAMLmVfz/usCGFSzMLj5xpuqWQyh8T3DQw88qDzy4MP1ZJIngyAwvWEo4NKLLi5TBmOdKIiirRO0CFDXLDonmsknPab9dhCYOvniuXNhxSW889bbQ5S58t6mUfD8pFEAeDZJrcd9Frj/8N33qtkLPHz/A2WmICwY4a1BtGnUp598SiXGCN3tnQT68xCACBUOj8+vZTjrlpbxiymmrFrv3aHNAqe+/Dy0FUz7hc7Dvw8JIjbisMNVov9m4CMaUokTrWr9EF4w+VxX9Tk1H23+dQg374X2hrk6UAFj4Un79yCw1ooQ7k032rjW87c77VxN80x6e++xe/TLRGX7bbaKdJ8Fzt8o6669RjUP77v3HiEIhZQfDPZTmuu2W5ZRRxy+bLrxRuWzYI7PP/NUWW3lFYLhjV0OCC23V6QJKaQy4i033ajsudtvg+G/Fnj8MIjw7VGfJaqme8oJx1Zhhba7SmjKk0wwbjnt5A7HHBrxogvOF0LE6GXO2WYKZndebf9Toa05OH2E4YcvJxzXcSoR8y+8TRIaHA01BmmN/8c9fy+LLbRwHXs0GvNMf8wcfcc6cP0111ac3Bl94FxYHsU0WNAjNLGLo0+mi3G98oorlvtDOFJXlgk4tR2I5grOCA167BB2eOSn06C5bN2et7mtOMq2rsu50H5ZghwnOfMJoRcqgY+5wKz/coyXnbbfoY6TrbfYsrwX4884xqwImsa3caJ9vv5zrHX/zjFfGWzMiWRcg8pcCexojDZw8OSwx/8EaA/80zatOe+87XZVwCO4mQc3/P76qtVi6J866D7qSRgwb/wmSFcLSeccTZNwk7li5k1v4aRv3wQ5v6XFPAkp8Og3nKKVtjgRahzyYxxoi/J4KEujDO9ovzhpkmb8r8OPUnPVmXWyREfrTB2bA8kzxN1AB8wz9oAJHKLECxgvc0oyZsG7grwEZeT9oIADBgaVuV51xZVlmJ/8pPw8JhiJ/rMY2BU6JwwiQPtkHnLw9VlBhJj0MEWawX9ATDZpEwYwTGBCNmBIMFdbJQa046qrKsFjFkZ8EpdwXJ224ppOGvLFqBD4s888qx4gD2z7IDTQShF14PACxM85o9ZJE6675pqqPS40/wLl/n/eW/F17JFHl4nGm6Du03zpuQ5PZo5H22+9Tf3Cyysvde5RjjojpDQaQof20gIcKm7fry/AvP36G+Xj9z8ou+ywYxVorLlaq6OhgX332rumtfbLnOeQch99HmWE4YJhbhiM5YPQ0j6omuaaq69azb1RUGWw77/7VjDgLcpmke4fd98ZeX5QXnzu32Wl5ZcJhj1OCFj7ld7BXF97+YWy+SYbB3OYrBx31OHRxg4z+QfvvR0CwEp13Oy71+417qXnnwnmOH0ZZ/RRAqenRRu/DOHqlXLVpReVheZznuvIke8BNa1tQRijfn/+uefqeGSGvywYKJMusy3A+NaMMUKbzW9sAp7CmOgM0/6yMkr9eWUwXGvnGAWzeoK+IUSNH2Pmxus7Tka79sqrqpZMmLwnxgGwVYj2On/0p3VW81Gwr9ecbXpmI/D20mO6tKkcn9USZR53MleBo1z94Paii5WnQljtMKN2aKWYrDlFKGBB4dBmvvXEXAi00S4MDgwqcwW2iNkOZOcE5srJE6PiTNkjhHzOYsD8/UXkx1uchn13Jy6AcquPRDBXSxRJD3JOAg4/1rKNZ4Cp8RZmFgZJF5P55VxtgjjPpFVH6dE+QjGmKs4ctj3OnNce+5cpKp7Bec5zTBk9TQFjYOX9L8KPcs3VoNCJOlnQyQaGe1eDCnBwsK8QMbRBPY9KS5DHkARbiL6Jueag+8uf/xza02+qtjb1ZJOX3wUBP/KII8rtjpKLNCa/gLFaLwQIBKnf9gnMgbZ3eGhXe++xZ9XGrCUhhEcdfkQQq/3KCcceVw/MdljAccccWx2G5O1UniHBXBMcWIDgOdSA8JKEx3vwmx9MRtwAcyOt84lHH6u/Mbfrrrq6Hmww56yzBVO6t/bhqSedXIkjLSeZa//o3wvOO6+aNTmjVAIdeTvaz3pgrsVmWYj6XLPNXj/yTesExwTR5exCyPAuoeTWm28pyy+3XFkiCPGbwVzVeZstt6qexK6+GCMOcd5/n33LKCOOGAxxhcpcMd3tQ7ofd8wxIu3m5ZPQMCNhlPRVMOYdygLzzl0uvfC8wEHf8vGH79U12eOPOTIeBwGMtJ8Eg73g3LPKIgvMW52VvvqyX2WYc846cxnhpz8JDfqg+i548/VXysrBiK3ligeY88wzTBea63jlnGCu1mG/7NenvPnKi4GPxev67uEHH6hDqkXEdzPv/3vHASd1HTzgjWBwxpTTm8A10R8ThXaOOdI6KwROrflb19ZX9rqCG669ru5/xSRs80lwniyBacKYD7cEfgHmjZlxDLs38w24OfLiFYw55Tofxzh7181ZY8mctu+Y57CDJmiyxgmCjjFgCnXed/b9EYcdXj9lhoE++3TnNqvov7rnMuYWJzhr6ZzlTjs18BbjgJd0Xe+PdN+VudpvyzELreFVz5JjJwPahCH1DOZfzc3BNM1NSzzjjDlmtYJwsDvhuOPr12B84/S0GPtvheDJz4BFS9wRBx9SrSn8Dgg/hFXLIuqCufLSd8zmwOr2XSCZbRMczsFsb6sl8zxrINynVbCp4DRpxv86/CiZq45NjROQmvw2MXWsTrYfzr5IkzE3qdvwz+GG+daBD/bXNvfYuueNmHHSYpg2pptYmW5gwZ5Om9lJeA7DGBhzTdhlp52qGRKzZI7jNGJSrhVS7xNRR1I0AkCCZXoDHJoQNZPRxEQUJo+r73BaA7zkggsr05g2tILVVlm1bBzEklkME+UExLkHI+VgNCTNwvbzOn3HCUS5X1H/mKCIHRNheqACGo1TgB556OH6m6ZwzeVXVKJNS70vCIc9uU4F4vxiK4h1M2BdmelS+2m5N4fGC84NLRgevf9CaK7aBOd/+P31VaOibf2zk/AfF4II3NBcq2NIEFJAm8Bc6/ps1Gmrzbcow0a/8JStWm4nIHRjjjJqNSFrm+9Vbr7xRoHPUcuO221TTb1f8eDt9Wn57Y7blRGGG7YyuR7BWHv3/CTKXrccfMC+VZPt05smE7jq06tss8WmZY/f7RJEvk95LRjj0osvFtr42EF0jwrmith9WRkpZ6UJxhmznHRsxxamF154tkw37TQhqP2snHfW6bXcfn37lJcjfslFFwqhY5Ry9OGH1b5lCmcN4EULqvYT8GLgbN21166mXH1/dWiYmCA8E3YSno90G663fu0rB62DPxJgAu88jqsloZO5Ga/6xNoi4QVg2jTXBeadrzwQgmCe5HPN1VdXs3B+ScrcdTCHtVXrsMmgmD0xLgdq2FctPpmqe1fD1Zg9Mpgrk68+9ak8kNuIwEvPv1CtH+YhZvd1MKjMlZbKY95c4IhlL745Yy6AFDAtOXCiY32BC4Iihz51Nd7XXO3XZdeddq7bntZafY0qcHIA46Q1wjDDVuH6/LPPqXnyLdBumrFDUJwm5uAQ9AjNEtAvdExQfyHpmmD7IIsbfxFOZK7iHGnp0A9fnZGnA1nQKIK0E9g4a2Hq1mlprvrBdUgrLD9m+NEy1zRjAB1rHUDHkqCcAesUImfUOuHFnktxzt/EIAwQZ82SxARbSFw5S9isbmLY2ya4H9TAsUdeJv83MVealDNcHTvHqWKl5ZavEwvj3GKTTesWEFprdbmP90jVtwYj4QCBqZhoNLqDQ6q17mct0joiJmot0Ds0M9odk513pLXu1WSuhxwQGs0ggj2GcGdLRB6ykUCw0GaSOiEnTUTare513beTwNFY5g/iyqyojbaIWL8jOGjfvZ3EHKGn2WvDk489DpGVcHOusU7lKL50BOH5SkvCXJ9LLSXg8tB+aL8LBeG+9+4OhnLcUUeX9ddep+6hrUJEJ3NlGmUW5rjEjP273+5axgsBZpstthxgErbGvd9ee1eCzNGK8EMI2m7rrYI4jlA233Sjqp1+8XnPqpUeuO9ewaTGqdrm22+8Gu39qGy64XrRF/tFbv0jP6Zya4Wflx233ao6JHnvycceKTNPP320f6IQMk4Mjce6W9/y1OOPVIY5IeZ6XMf6GgeqBeedq5qVzw3NtV+U3ePDdysjXmGZJeu67/Gdji6PPPhQZa62Mn0Wmnj1ig68PvfMs2XZ0Po5mAE4ZhImnKVQktaAp6Iv4CmZK210gnHGrbi/N5i2dW3gPUKNz4j9/upr6tiztsiZZ6lgeDzkrcMLV191Vf1oN7MwoIGZT+J8pCEtUsye5pfDYRwcYpyLx2C+6N/h5Aj0CWuGejny0brwQ/fdXx554MF6WhVP4VtiPtkyhLHtvdvutV2eMZ3blvRoCCKYlzXfb2Ou1isxH0K8Pd8EUEK9DxuYC8n44ZvmTBvFVAkfcKyerASnnnxK/bACvwsfqB93jDHrtjWHefDN4HQ3foznC849r5abfYL2ObiDOdryDNxxBjNfWdLQNs/QN8GpWEn3pFNXYfjhh6/f5Ha6Wl7l50Ae7cdcBaePoamA9koA0j6nv2G2TVr3vww/WrMw4m1i5T2t1W+Ef9ddd60Dx0CgSdor54ADEqUBZ2BhojnABPeYI4bKpOPIM+ebCgbYtwVSq/zl9W3Mdc+QXDFXWzs4+FgT/N0uv61OOZNHYKJztB3NqjpgBNAgrLliFibjjtttH4S1Yy2RBoW50jYO2He/urf0uSASPBGZSw8MDTWld96wpGPxtirwHn7/vferI4/gVKJ342rCWpMmnZpAtAYTES6Z70wiz+2x4zFMW3dMHWkZaLNAQKiaeGquoZlO0emdms5LNFDCBY3o70F0wXkhndPOaUTPNMx6DpQn8fNcTTMkE/nYISzYv/kyphlAe+WAY33PQQm5HnhsMNfNNtq44qxC5NkrtAl7HTk/wQ9PzS033ayMFtrEtluHNhpEFiNmMqTtjxW44+j0cTBXZr7tg7mOOeooZavNNq0aalC9ymAxy+GGHaYsu+RiVaPl7MRJ6fBDDqzMUhoMltcvzXUf67PBbJl/F194weijkUOrOjqy61fTvhKM1JorU6/1WUBDnWWGXwZzH66cfupJERPjLfLmKMX5yZrrMUceUdP+K5gLUyjBhDCRwETKe/pyDk0BPIGZ6h2VmOZb/YdBYjrw9PtrO05h0x+EIP2UDk2AsxnN1zMeycCnxIxRjNjyQDrk3BCaUzJMYFxZX2UWToZr/vCGtb5Py02NlkCNgZn/xhtQ15OOO74yLgwMQ9du6+S0bPPI+DOGCLSEAH4AhLvFF1m01s/HCY468qiq5U0+RQdzdQ9SqAfmCZMs+sEsTIjncIXuEAbySEefYeuwDHWs+6uXMc+y4n7/ENrqUkWAnQKEAmZt25UuvfjiOu/Hifmg7nAO0nxrLrLS5bGajpdUX/foUtInTFEQLw6NQ7PQO3GECHn4zYnJUo+Ddpi8nWbnIxDyNsfhW1C2eugfV7RYf7TwI2WuTYaV9/lbhzMvMSlhrgaRk5fSROLKJMwRx+80A7v6WgmJjCbG/d+5ogLT57cFzNRReYNiFt5vn32CQI5at96kRufs1x2CYdIoFwvt8Bl7CeOV9LLl1YkYIE6kbQTAnk0mTBIs5rF2aKSIHPMwjZjZ2QQ++4wzax7glc4tCCRnBMYxeButv0HZbONNyoZxdVjDeuuuV81y1qlJ4/bQOVOYxm/ycSjh+u+5g9kFk9FkvfrqDo2mXxA+xDi9HJO5PhxSOaLHLJZEwlYOmqt1u3RoOu+ssyvhs/+16dB01eVX1HiSfK4H2s6T0v9LuYUp4OorrqzEHXN9oFMjPvLQw2p7U9gAGDkCvM6aa1XnJaa7XXfauTJ33sE8NitEOzg0sQZgMB+8+17pG0RzZ8R17LEqk+3xwbuRzlaoz+uaK+ejZYK50j77BnO1Z/WAvfco77/zZggAgZNI652tNts4BKO9ajG22WDI44wxajn26MNruspcX3yurLX6qkF0RxiQFsOdY5YZyygjDFtOPanDO9V67ovPPl2ZK9PyySd2xN8Xwoh2GkNnnnLqAOcd69/rRtuv6HRoAgQfzkB33nFnh5k9+pOQ49APzOiGTiclDJnVwBYxGlfCnbf9rZajT3KLD+cncUz91dO7U/O67ppr65orJ6UEJklet+lBjKExR/oSD+ZKqDOvEHIMlvUqmbUxZ8wcHIIQgct8IUwaY8YD4cg9wSuXWSaLNkhjzkjvBLO5Yi6tElq6U9ecf41egGQeGIuvKTl2kYboSoOkOdIQLZU4+MKxmM3xZmkCQyUkVqYZGipcM5sDwjZ85rnPSyy6aBlxuOHKDL+crlod3g/hQ79lewnA5qgPISTNckwnHwgBfcr7Zpx06JzgRDn0T+DExDRs7zH8M3mb24QGJuJk6q5dGak+aQof/8vwo2SugwL2mmGwBj1NlrkS6HzSldBkeEMCSLbf5NCUsOfuu5cRfjpM1VyZFpl2r736mkqwmX7mmXPO8vQTwVDiFVtsgBOEMB/Md/xgJCYnL1f79jhK0DQcCIDwjx5a8ZRBPI4JLe2aYDBPhLZRmVzkR9tlhsY45EGix3DODWZ2WhBcjhU+weVQf0RluJjUmCqzkjNWBQJEfm7NGcL2JDIJI4jWYgAznfIwfnXUDpveCQE0BITl+us6Pl5/Q1wRuGlCc01TLxPdztvvUIWIJzpPDwLXBZ4QvzlmnqXufwWnheaKSEnLCxQ4FtHJT4g5BxpmSMDJi/biWMU3Xu3YV8mSQBCDF+/TRmnFzOcbhqDBo7ZCtAdzpVHou3feeKt6dW639dZBCEcvO24bWi6HptAcabCY6xjBCFdeYdm63orBYqLzzz1HufC8s0ObccJSSPuf9aiHSuyPYYbm+kkw26suu7juf10wwmUXX1AZ7OuvvFg9i625HhHab9/Pe8XY+aRcesmFZeEF5i2nnGDtsCK9MmJ7bWm5xx59ZK3+44FHa3gEK97aud5MkLMf+ELmxs5xSmNF8NcJZpprtHdH32Ck04RwZFyxSjwf/Q1/C4fwlekAzRSjYsK/7c8dpypZLycEzTvX3B1bcTrL+uONf6xaEg0pwTIEoY2Gau4g2A7YdxYw4TXX/fNZndMxxqrXvGwjMHfT0C8459zqJOSgDE5bzKrMxsY+5rrReuvXtp8fQR2t4Z8T8+HcGNe777Z7mSa0WAwTYwGYOcZijdE6pZOR8uhUpmBao/niXGjrrg6XwfyZhQkp9tWae3CB2Vvmcc+xicDBkrDCMsvWOWH8mvMLhkBhPPfp2UEP0vseWHPFXJU1OACHyTjhlABD+2bNo/Fahx3SNPO/Gf5rmSuw79Laq7WDHXfcsTrccIzAaA2edIQYUvBtW3ESmMk49ZDqTWIOJTsFIyE5+67mQQccWF575dVqFo4X6zoOr2Aaw/hjj1uP6+NYstKyy5UTjjm2mplMRkyHtDtxEAx7F3nG0hZoJtV5J8Jbr79RNWaaI2aMkOTpTTlZAfM6ogFvTEK0VCYkWoMD1O05JLSwAgDtg0uSrOtXnZkh4HXjficx4AFJY0BQLg9CB278ww3VPEabQMATEGXmsQHenkF4/hCM2OEQiFKm5ZBiHdR64uudJzdhkJeGlI9AzTL9jPU0HMDMximE9vxkp8cyhsmpDMNkTk846rDD6xp4rrmqPwI4wrDD1bS8iAkNWwQRHf6nPylbbLZpdU4Cttlsv/WWkXaYssKyS5WPgmH2/vTjsv46a5YRhvlJ2WHbrSrD/fSj98vvr7myarcOnPgi3sdIHQ6x4XrrVKbvaEPrsryIl1iEc8uEQaCPKj0/6dCG+vftHYLAquX4ozrMv+DFSIu5Dh/v77f3XtWK8Oy/ny1zBHMl2NH2ge1QNClOMxhPaqksDJYVONpUR6cA2iwBSP+xIGCuAFNddqmlOhyaOgFzhuOxYzzeEP0LWAgwCtYVJ14lYFoOi+B0mECT8qUqAhsib3w5L5xG6Gs2zK2YnDkMMAV+GEz6xlrdK+oavys0xjbIrTic03jb/wd0atTgrhhjxj2LTS55JDM31t1jsn4DnvS0cMyVJz3I9dbK+L/4sjrrES7Nd1f4hCvLNQQAzJevgTGOCRMACALmOmHBmjFfhmxTMldr1Qldac6gQJM2Wgpipic02OvKsUl8C4MO/7XMNSUw64M8+Hwph5ewSWDgCQbLdx2A3wTfZZ8rxsChwhdUODKsGxqC/YO2zvQIYp5ni3rn7DPPLJMEUZkypGfMYr999q2ONjQoEi9tIqXf/I1Z0VDc03AxEkSHWZgpWPyeIZW/Hky8EsmoFsKaThIIh/UkZna4tN7FU9M2CF7XcOe5PXHupVdXV0SvMtogcAiK/G1z4BBEKl9v7XWqQ5b9vcrFMDHWakIMAs7UCk9/D6LtlB8S+7ud61GcbZg2aZU++eZwcOt/CKVtN7ymmWsBLXfG6aYru+y4UyVI2vfHIPQIl2BdG1h7xlydh2vNFagr5ye4ooV9EsRGnTBXh1NIq5++6NOvnBoa1exBUFdeYfly+21/DobbYSXZZsvNAs8T1S02H7//TmWYmOJsM00fwtQ2gZ9e5a03Xq2HSDjw4aDO05yiJwJnvctpp5xYpp1qispkMVcm4GWXWryMO+bo5ejDDw2BqYNx8BB2BvEmG64XWijP6i+ro9Maq64cRHmeckngj7BhT+m2W21dx8qZIWQATNAa7C9DO2PqZSpmwqfpE+YQ9lyfZcrlHDdpjB2m3ErcY7wwzxPYzjn9jDqeAAuF8cxR6r5/BNMN3PmsnSMHHZ6S+1yB/rPskF+8ybnCNGkLiK0gwFYc6/40Wk5EuQVHemOQl7n6E3icasS7vB60YkzHlbNVOlw5mMQ6qzl08okn1XbU+eZ55z24/W+3V0bJLMwLV1nGtoCWJMMRDwjC1jdp2D4G4rl6ao+tZLzkefcThAm46UNhvv584okrs2WhwmzNX5qrKx+Nn8U9nNojX6GjyMFmrgPwF/Uzf+HUvFZvggEaIL6F7wb/tcw1B5eBYi3H2gHJzADyLCfIoA7AQYHvwlxNDGcJYx4IE+/Tg/c/oJ7MhBhkoFVak1zz178uswYBX2j++cuKyy5fmYm1xPqB6yWWrJPSJHQgvrwQMBOYloaR2p/JhEliZ/6k4R5y4EGVifNgxHjUiYRNKjaprOXkpPJ9XMyVhpFOJtqDwJh8JmdlqJHe1ftwj6gzW/tQcv2MVGiyzNRM4EkkbOfAWGcLpnlTML/3336nMmXHH2oTgk5rYvZjunbAwSMP/6vWlVmdY5H1qkmC+NACrPd9En3N3L3kYouVxx97tDJhdaFFX3HxJdWBp57cFMCZxDYHwo4TdOCBMIC5OmWIMPB41Dk6r3p6jxEE2eEU1mfBe++8XY487NDKCHkGP/fvJ4JpvhYC0xrV3PvZpz2iPRxa+tXTm3b/7U6V8fYLBvpBMF1M0DrqPnv8rjLg6IUaeoT2u+suO5atNt8kxsFH5aEH7i1LhTY67ABtlCNJ/7qlZ7ON1g+mN0Fdz+3T65Ny7z13hgCySvUg7hn9gFlovyMf7Qc+5YSOb5hirrRRDJcDWApXD4dmSVhB5FkAeHZbwybcVebKA9iYif58uNNRSh/adqOfzjrttGpJ4P3twwYEOweK/CH62vaY9ELmtXxWMCHaKE3JmCKcAX4QvpqTzNWXl2jy5hdzMTDeBONPHxs31SvXuI5gvGGYLChVo40AXgwhzxyiGfJJoOWyUPA0hoPcOnZHCBSTh+DH4ceaq7KM96QhyVxzbtOoLUdZn6S5iss0vUMrPD60z4Vi3lrC0A8O9SDozT7LrGWOWWetzJN2bw0YrgmSDvggCBjb4tKre0gyVzjHTGnhtFdtk0eT6bof1Dxb+C9nrnXCdQ4ygyU9X90nkx2Sg+W7MFdmK2bFx0OjZFazVYC3rniMqErOQRBI4g4cZ0bjqenkoScee7w6j9gyYL+etUeOD0yjHJNIxzf+/vq6tmkNl/lp8002rd6uPBJXXmHFmtYXSjrWQqNeQiczrxpZ4MiEUmdgvSuZq1NzxEuDucIpfHLwMEFBnZTeD2JXvZ6j7GrKCnA8nf2jiAQvSuZIAgBHF97CiCT4RxBgQgMCSFO6JDQo+3jVH05Abvb/8y23VuctxMgBBvYCIvYbrLtueY2GGu1LbeT3nevTjgPUHzyAaaMOWLB5HxAEmJtpF9Yp9RNiRgsebthhq4Dypjp0Dp/jjzm6jDHqyCHoLFYefvC+urXm58HsDjlo/3j6Vd2GYy02/pVDDz4gGPYa5a3XXynvBrNdM5hgXUd1MMRXBL6O4B0aqrXbG6+/pq63jj/2GKHljB/a1nFV87Vey9zscAp57L7rzvV0KGcNO4f4+ms7nMaq8BT9q12rr7paOe7IoyoTwuQIL7RUVoEEXuyIPmJu36sDOXzswDoqE7LtIQnGG+c4GhghhyVCnjOHBmdvLBwRagDHMn1vbZ2pmtY67zzzVG9+p6kZcwQz44sZllMThxu/mSiZaGmzmBjA6NKUWRkEjTWECOOa4Ii5mkPGd45F8Py/nymLRjtorsyt9XngI+dBOgvddcddZeoQPmiufCqMF2PdNQPIeqgDIcGnOJ1/LC6ZMXyzHpjLD957Xz0Yxnq3tXDCIocxuLYPmFBJm91rjz3rOIVX1h2+EmmmTxgSZmH4S7rYpI213vHMvKacuG9h0OC/lrkaGJXAx0AxYV1TyzIBvo9B8l2YK0ZDk0T0K+HrBAyApkcCr1pE/CESNIevA2cJ8xBG3HjRctCwfoNhYQ5bbbFl3SZBKndCk7QcnxxwngwHMWJOpQXyUDaRCCPwpc4mrrVre/hyy4T2JF7hE1E0QYE4zDbXhnjc1nNSo01Onbrlhhurpm7Liy0SCLb1Yc5D6qL96sLRhJRPwqdZMlM64clhERUCf9K//vKr5cLzz68CBdMvT2r4sBZNAIlG1HapM0aBSTiAA0Gz5mgrD6ZjK1Ltg8jzldDyrMciaj6RhhA6TYu1gMaHkH8Sbfw8cPTC88+VPXbbtfxmzdXLP+++o6y9+qplgmCEzgvG/DgzYZyBtXpC0+wzz1AOC8b7rwfuC8FoqbLtlpuXF559OvDXp/T46P16cD+N9IB99ymzzDh9WXGZpSqzFuyf5Q3M+9garzXa+4OhYtjzzTV71YTte8Vc/3hDh9NY314dFgTe5Q5wcJ6yrTG+wMRxyXYm/WKMMKfqqz/eeGNoVLNUTZN1xJihodrbaq3WmIQnh4RwcGJJ+fWvVqkambT8Cl7q3E9MkJQ/wdEXoOzH9kUYxxTa4mHO5LGaxo5+4sXP299+V0sRfAB4qvOEZRWhZWEsqWnlh7hTe82A2brq16q5Rn3sc7Zubn5gruIqxPg0nghtxuqtnVtxODSlt7CxrjxXZZsDOf6bdEU7PE/64xm85uEdFTrLrX0TZTo0xjGRfCZosMY+L34f86hezCONXJ0PK3S+O7jMVdqkjdqQWqorOiBe/dFNaVsYNPivZa4GiQFjgOTgSAZnYnwfg2RQmSuNrppjI5jwTFAmv8lFwqdhkqA9S6KQx7bRLB04X5lvJ2NmGuVxi6GccuJJ5cjDj6jHpPkItP1+1rcw8i/79a9mz43WXa9K7NZclYn4CCa+ya1MOEvCAHgQ2yNsQ7kj6bQlCQZ8wrWr9HlF7KqJOeqOqDK7uf8q3sGYbHehVdMaad7W62gZvuQjbe9Pe1YijghilLQo5ux5Q4BIr2A4SM/JV156qSy9+OJVc/UZulFHGLFu5fEFFBryJ4En+OedSgOw3uXrLDykhw0Cj2lLW/EeATBzMsfxkGVd2GPX39V9spi6Mplc+/bpWPu87uory1abbVIeffiBumXGNpwdtt0mCHrHoRLMuBjh0YcfEu0epayy4nLlnjtuC61zw3LtVZfXPDDhnsGMvePw/v332auMO9bo9eCISSccr0w/zVTVk/irfhx3MBPn4XZ8eu6QA/er2usUk0wUeBq1pv2Dz9PFszqGom9d1ZsntnOTOS45CYimyuEN3q2Vg0+DsDLfwzlBjWDD0/fpJ5+q7denVUAMwDwJQGOONlo1MWNaHKJyGxXzb/W61k/B2AgyhKBzzz6nfkiAZphCm7Fk/jL92urCO9j6q72vzhtG5AFtKtcFxal31T5pnnGlpVo/trUKU9V2v0O+qYKSj0JoV/3kXLzrOY21poWDqOvtf/tbZfA8gJO5pnBuDqirOiR9ybEvZDpx9p7zJXCiVzJXc/ijEDjgUCB8mNuESr4D9mQfdvAh9bAXh0nwimdNYbVSlvqBIWEWzvq6NtuibWiBeL8HNc8W/ouZK8ZgYBjcBg1J1yTMQePeABySMKjMFTMwiThdmMgYjsmFsVbGaZIHccD4TMBqVo10GKB9sT7fZfJLg3klIcnJVoHWC+KCYNZDE+LeVpzVg2AyC/NAznJdq6YcgMDYSpMTCQ65+TvZhfmO44k4ODQRK/HoZMRwnZMRyCtNddpQ9+1Gvpj4lpttXj9qzpTr1Jr33n67tgvx8b1azP7tt96umu24wQgRbGuATGW09coEo+3ZbutotCYasc/EzTDtdHXLBW0dXq2jAicFTTDueNXkfOLxJ9QDOBwacHgQMvnKr+Iz6s7EiblOHeXa2oTY+YhCnqDVgefo28DXJRedX5ZZavEQbg6p22jmnXuuct45Z0VbCQsfhEDle7ufVQcn+1JpmYeG9rrGar8q12OCodlyTgouF0KDLxy9F4R13zLxBOMG0xq5eglvvsmG5d6/3xVlh3YfjNrWn48/eDfK71sO2G+vyrStvfpyzpabbhya8f06oaNNgSuCi/HGIY4lwPnUtE2mShqrvpJOu5z8tc4aa1UhBBNinuf8dH+k9dw4xtCMG+b0hUKQoVlJZ0+mjx/U7+7CUYQcp0yyLCu28DikY9bQ0vbYY4/qFWw8GT8CwHCZgXfbbbe6j9zavzFmzJlPOb/9ruOgtjPGb9QLI83xVOdL9FddJ440Tv2yl3S8scYppxx/Ysy5SC9NZ9trCLjnnr/XPdwOVmjuc1VeMiHzIOmJkPPCM/XTFvSHME0YBF9G/pWhhsABj9apLQtV60Hn/K+gGp3vVIjf1UlLXEcVhxhzVVeQ9NHVM/hFS6UZ1Dxb+C9mrgaKkAOcecMAMegMEialHExDCngjO6HJnjDHpgHl50DPyWdimRj9+3Zodf1Do0ztsU6eTkKUEwiD9QyjQpwqgYg0mPDnvWISBFHwW3xNE4EZMJllnYSdt9YqV1puhbpJ3slN8lUOZsFkCOAHrpKAIQ72uzmFxsb43GMIf9I0cQ2SmNR2R95fRDsxVnXHDNUbwbPf1/nIO2y7XWg170d9O+qOwKcZ3GlRK66wQhl37LHLqEG4N9pgg/LxRx9VgtQjrlUo8NHoKJtW/pu116lrVfYC7xTEvZqCo27a5ixbZTBH0shoYg4UcPLNLjvuXIUZ0IGPDusAp6pqju7cb0jTAoQazD/N3uC2v/6pzD/vXGXsMUYvU081WbnyskuifqGxffR+lB8C3ifq27NcdMF5ZZaZpg8GP0752UQOLBipnHvuWTWP/pGunt4U2rAzhS++8Pwy52yzltFGHrFMPeXk9bNz4MsvtSUEm0j//ntvR/6flzPPOC2EBNtfRi+LLrJgMMzOrTHGeYwFRJu2aVzQgqYKgQFOrfE9GJorgH9f+tFfH7z7ftVuJwl80i6dIGYbmDVWeemDamGI/ibA7LTDDvUEoTFGHS36bMXax8aEdHU8d45HHtk+iDDpJJOWYX46TFlzjTXrOALmKUEtx5a9r7yDbYUxBhF6jMv4chXSapLj3HwawKA644QBTCnAssIC880fuB+leujX58af8RnB2AVM0IRKZuE8ocmzZDhZb/VtMtScC5iUuvYP4UudPAPKGCDQxh9veP4Qyq+CXSeualuMS/WO0K93aMORj3fq/IpyeO07HQp+slzP1C1/fxNIq47mPdAO9DEFBlc4HpS8Wvh/8F/LXLuCQZKDUcj7IQmYK9OpI8Ls0wNdyzW5BvyOCZT3XdN51rxvvvP/4jve+Y/3OkMzLokLcFbr2muuVT9QbYN8kwAmoTC5MEi/UytwSovjIW1pyq/iZP5dg7KTwLh3RiszeERUokIgcH35pZfKQQceWD9KzruX9I5ZaReNCENU9qOPPFK22XrrMvtss0edd6tevt7v3btTQ462SftJMLu33nyzbBxa6xSTT1H22nPP6pwFZxi2tnzOjBcM157KZZZeukw+2WRl5plmrt9/RVCAOn8Y2oA6MeFzslpg/vmDuU1VLr2k44hA9WTqHMBcI8j7lptvKksvuWSZZ565yxWXXVb6fM6pJoSUzsAkTjg4+6wzy1xzzRllz1imi/Fy1ZUd3+glAHz5RTAueO/sh8uizJlmmL4stsgi5ZFHOj54gFl/0Y/WyDzvM19fBpF9r5x55umhMc8TDGmFcm+n9aQKXhHkbVkBTvXJmWecWaadZtqycGhwtqxViHbAfe/Pov+jbT4E/7tdd637S30QwvGSxoe294r+QnQRZmnr0aO/3TVwP3nZaKONqnXCc3iXL+ZCgNFXHPN2DOGHOdi5vDleEHIhtSR5OhPc3lFOdelUAy/Nd6owF8zH7xqa86RLAI4YXGH5FSrjPCUEDbixdNAxPjuZdYDTjFiiaK65zxUoGx4GNveaoTkX/nPu5hwN1MQ/5StzYOn08X+80/lcegFzdfzhkUceWcsC0sF7/v42yHYA1/zdDC18N/ifYa7dASYfCRtzdYyYAdkkFMCgHdjA7Y4A7A/caMMNy9hjjVX23nufWjcMhBTuE1ZN6Vs96/OIs4GfVu7g/m9jrs0gDwQ2tWJ5VasB4hXPrd/aagFPychBEkyA4EnjaEUHgyDqCCkN5/PO9U7v1fNbA3yrlJbBcUf91UFe8vdbfurx6GOPVguDY+Cefurp+jz7Bz4EQDP7Z6QjMDmcvBJWjCLycF/z7dR6tc32DUfIvRaMwfP/h48OK4A6MOU5ptNXgJRP6AHakZoYHKiLtIg8HPT4pEd9vzKCJjOJgIOpnyM8hffee7fiuKbvbJt81RtwWNN+7eJ8Jp0At9JUwSEAg3Mk6MOhsVZBIiDHtXwrY4u8ASYN9/Z7NtsCpNVnWQ/n8JozlhmaaT3PvOGLIGTNlVNT4rwy9M58xXm3/5dNXH99AKwvSy6xZB3TPmqurMSR8ZHp7G1lFnYyWZqFgXTKFdx3LeO7hoSBPfu6oFyg73wRh1lYPPAscdnCDwMtcx2CgFA4MtAmcnv0cgIa5Dnom5OjOwNipR7WtTiFjD7G6NVZBIFWzySsmS7jEDLBNgiEyAlN6XgysHK6Bu1HIF2BvDEgcYkfhFFZlUBGWQDTTNOUfJIwu/ot3nPvAe81yxGfWk7eJ/FUB6EJ2V55eOa9rHsyWSBdlvNlMMvMX97eUzdX6dxLq2xx8sm16a6g7ULiJK/eaabXbnHyE58mVMymZ6cVolkHV3WTVjrP5FuPCozfCfIc0K54T/COuATvVoGmMvaOvOStfdJ6R5+IA1l/dQDSZJ9m/hgikC7jgXeUneXLK+vWxCnIeubzxMHXBUBAJCiyNNGI5aVN6q5OiRtCUn4VB6NNkI80g1Le9xG0Fb6ADx34brWPayQ069XCDwMtcx2C4FuI9oLybnQwNjC4TcIkciaF++4OlWhEPey9cx6wc4Ex15ygORmzrq4IlnjAoQlz9VWcAecHdyljYEF7le0eKMNvjMQ1y810SQyU77f6IZ4ZL73f4vP9jBeX+FV3BFs+0isv6yCt3xhFMjT5DyydPJv5NN8RxEnvXhpXdcgrpoehZJ3EZVnylg54Jt8E6Zo4AN6TxrueuU/mqgxlNct2Va7nrokvId/NvLJu0olTVsZrfz5Thrist/hmnaT13L1nynQPXP3O9JlH4sZV8F4GafN96b0nTj45JrzT7PtvC8BebdvKnPjEKgPk16wHsMfWemue0AQSh4K6NfPurgAPcAAw17XXXrt+2ABk3RI/Lfww0DLXIQjMlvlJLObLrmDA/9DALMz70vFsjpNDYIEJizh1JWT5m5emA/s5NDHldid0JRJDgmhoXxLwrvB1/QQXXcseWNpBrR+cfx0M7lgZWB265ilN9m+CuK7vDqzdgwvflF/XOn0fYAw7EIXAmOZU+EkBJIF53VKPE5rsux0awSEuzMI0cLhLQWNI91kL3w1a5joEwdcvbMWZc84569FnpGNrT05rcfqMCS24dyRjdwbrWoL1vSQqhx12WJ2EiAlCT2pP4pIhCR3Nlcnb2cIct7SBBjuwsppBGmZk62W2J1lny7hM4x6uxFuzk85VXOLQM6Y8V2Xns0xvXS7zyHJdvZu4l0ZfeJb94Lc0fj/66KP1Xh3dZxmZj6vf3tMewXvwyqvVfabPOrp6lu8PLF0+VxftkV8+E9TX86730gj5rrjMV3DvmfzlqVx11rZmWvdCpnGVznueKzPTCNKIU6aPYWR9XDN9li9Io498qcozcdJnuryXb7O8zC+fZ3rjxb01a/lqT44hz78pZN4+OLHssstWxklzxYiMdSHHPrDWnN9GPfvsswfkIw/1Fdw3y+iOoG/g1b018w022KDOUfOZZt+0irTww0DLXIcgmLC2q/iqv48/+5ajq0PJfVLLx8R9SJ1m63d3BhonjZVJ2EHkww8/fP2sHGYqJGFJc1Oa7cQhPKR7JjQmMlsjMGhrVgMrqxmkcT7sEkssUQ+gYFZWF++Ld8WwnS3rt+s888xT03onn/NSVnfXfA9u4VKe3ss6ufeuPbkEHc+zPpmnd6WTJq/SZjzCKzSfMSMqXxp1VJY06qOP/Za39mVadXav713ll+1JnHjmfc/kLT99JR9BvZ1VO9dcc9U02Q5lK1O8vP2Wr3vv5b285em53+refK5tWb44bfAb3hLX6pk4yHfVIfEqredwpQ1Z78SHfhI8EyffLN+78tIWcT6S7rn3vZv961nWRz7iM084zbp8U8g+8jEPa6ksOD5KkWPdtWlyJYxyUJRO2/SLfOBHexN3Xcv5vgO8ZDvgxWfhDj300AHCstBqrj8stMx1CAKHJsxn2GGHrSZUWuxII41Ujw3EdE1QZmPrsjTH7gxZtnrYfsD70RoNx5BcUwQmZa7r5CQlCWOuiJF2qT9HEGFgZWXAjLVfud4TxHufAOI7sZ6NMsooZcQRR6x1zDTy9r7nmS7vBe97Ll3mLU4+4uHeNdN7rt3S+61Psm5woszsJ9tOaDTel6f3pJW39wknWb+8Ctk269kjjDBCvafte185mcbVb+VJK536Sifv7CvBb0Fav9VNW9wnDjKdstRH2Zlvlid4Ju9mG6TVNr/lm+lcvatO3iGMqYPtWH7DoXSeey9x6r3EPXypo+dC1kWc9Oqd7yS+s12u8s/ysv3ey3Z7nnmL1w7xyvm64B14SZxjSvaHmgPJkIx984H2R2AmvGinOnrPeFWOeukPY0a+Ayvv+wzKhAtX/ed4yOYyh7a0DPaHg5a5DkHwtRimIx9MZmpipuHmb73SB8V9APqss86qaVy7M9inak1GnfLDzsyfCAgpvclgTUiTNJ07SPK2gnjPMYjaJJ+BldMM2gsPiQuf4NJ28VkPAX4ynXrm+8pqpmsG8U18es/72UbPlCfIRzp94F1ESJmCZ+Kzf+Ql+O2Z9PKQf9Yz35FefLZNyHZk/uLgOp8L3m/WVV7SqKP8si3KbrZDkEZc4iHj8n1xWU/5SyteOfL1O9uW9cz6i8t03vEBfL+zLp5nXsaAOHmJ8yzrmvVTvpD5DazvPcu2ySPr7up3Pmu+414+8sv6KMd74sV9U5CesCh/+XE+TOtNOm8B4555PPPU1qxDtvHCCy8c0L9dy/k+g/LgDp6yTvw8zFdzmi+F+xZ+OGiZ6/cAJOChGRCN5sRTX0Ql41J6x1yT4dJepfm/wtAkQX/XuiQOQGrzXweD286u73ct75vKBs33vylt13ybbWxC1/ivS9cVBgfHTfi29g4uGOPGNjDmk7lm/c0VntgDg0HFRXeAegrwpT3NfcAt/DDQMtcWKjSJ4XcljC208N8COfZ/7HOgncM/PLTMtYUWWmihhRaGMLTMtYUWWmihhRaGMLTMtYUWWmihhRaGMLTMtYUWWmihhRaGKJTy/wFwL7fCcFjA7QAAAABJRU5ErkJggg==)
A dynamometer D is attached to two blocks of masses 6 kg and 4 kg. Forces of 20 N and 10 N are applied on the blocks as shown in Fig. The dynamometer reads
![](data:image/png;base64,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)
physics-General
physics-
A wedge shaped block 'A' of mass M is at rest on a smooth horizontal surface. A small block 'B' of mass ' m ' placed at the top edge of inclined plane of length ' L ' as shown in the figure. By the time, the block 'B' reaches the bottom end, the wedge A moves a distance of
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)
A wedge shaped block 'A' of mass M is at rest on a smooth horizontal surface. A small block 'B' of mass ' m ' placed at the top edge of inclined plane of length ' L ' as shown in the figure. By the time, the block 'B' reaches the bottom end, the wedge A moves a distance of
![](data:image/png;base64,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)
physics-General