Physics-
General
Easy
Question
A ball of mass ‘m’ is rotating in a circle of radius ‘r’ with speed v inside a smooth cone as shown in figure. Let N be the normal reaction on the ball by the cone, then choose the wrong option.
![](data:image/png;base64,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)
The correct answer is: ![N equals m g c o s invisible function application theta](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF0AAAAPCAYAAACGN8M/AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAtNJREFUeNrtWE1kXFEUfiJiRAwjaoyIEFFZVIQYWYyqUhEjnihVUVWjdFlVJSoqq1Cz6CKqmxFVESEqyyhRoyq6qYqqqFLVRVSFqBhVI0y/W9/j9s45zx3eUPU+Puadc++5b849fzNB0I4f4I1Axk+wJ0jhgxK4DR6Cr8BpbeEYeAC+VnTvU196YZoOjwL0DPhZWzwPboDPwLOCbjP1pxf2wSFH9gKckBYvg4vgRXBF0SWNyG4eXAW/g9/AMvU58BF4DJ6A9539/WAVPAJ/gc/Bx8K7DnCdSfcmIzFn6U00roEN2jGBlxHedwn8Cp6CLeGcS+BTYd+m9Z3+whYj2mAvRuei5UENW3T8W3AB7AVHwC9ggfXwKuXDdEiee3upX+Rnw7t0yLzj8HcMpCzYB94D56yLNaWzwpKQpZOqgsNr3K/B6C8LcnPJM9KGT1ZaLPPWInwUUiYJmDNfOlEXMCJrirzAzw+EjIxsFqznh8wiDVVelo1R2rGx5/hEwkFM4OXdxT2cTiKMMMUkXVKI7PZ3KI9gytCgsKbhPB8Jl+fq3VKS4SRn4wozJoyxddKB/E/HrTuyXaampEuivGh2feRTypTl7i0q64IO7UQocH2dvrGRZ9a6KLLXtGFBaABmXr+l6JKAZtdHburmusfeMuuphpB9xcUdpXRFWWB6wHVlVJSGhYpkyNS8m46sjze3SucnDc2ujzxURth153tMsR9pmAV3hHJgavN4zD4z6VwTJqR9R5ZjSRKb77Yy0tR4q+UuOF0700ee5Xg5yedJprBptBeEuXmF002WUVyyJqBDa5IZ4jlLMe9d5KUMCroP4G1+Npf2xrLdhmNlLi2xJme64HTtTF95yJm5yZFzhk3R/atimKPlKQPIzejzdGKTWVFR/h5p0UY9JgsmeMlNnhX+778Ez6W/mrsLE2lPrHm8yDl6PHVN9zDAxtrg7L7DSP/n8RuYa8SwR7PUjQAAAKZ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+TjwvbWk+PG1vPj08L21vPjxtaT5tPC9taT48bWk+ZzwvbWk+PG1pPmM8L21pPjxtaT5vPC9taT48bWk+czwvbWk+PG1vPiYjeDIwNjE7PC9tbz48bWk+JiN4M0I4OzwvbWk+PC9tYXRoPvUy48YAAAAASUVORK5CYII=)
Related Questions to study
physics-
System shown in the figure is released from rest when spring is unstretched. Pulley and spring is massless and friction is absent everywhere. The speed of 5 kg block when 2 kg block leaves the contact with ground is (Take force constant of spring k = 40 N/m and ![open g equals 10 m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
System shown in the figure is released from rest when spring is unstretched. Pulley and spring is massless and friction is absent everywhere. The speed of 5 kg block when 2 kg block leaves the contact with ground is (Take force constant of spring k = 40 N/m and ![open g equals 10 m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
Two blocks of masses
are connected by a non - deformed light spring. They are lying on a rough horizontal surface. The coefficient of friction between the blocks and the surface is 0.4. What minimum constant force F has to be applied in horizontal direction to the block of mass m1 in order to shift the other block? ![open parentheses g equals 10 m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
Two blocks of masses
are connected by a non - deformed light spring. They are lying on a rough horizontal surface. The coefficient of friction between the blocks and the surface is 0.4. What minimum constant force F has to be applied in horizontal direction to the block of mass m1 in order to shift the other block? ![open parentheses g equals 10 m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
In the figure shown the spring constant is K. The mass of the upper disc is m and that of the lower disc is 3m. The upper block is depressed down from its equilibrium position by a distance
=5mg/K and released at t=0. Find the velocity of ‘m’ when normal reaction on 3m is mg
![](data:image/png;base64,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)
In the figure shown the spring constant is K. The mass of the upper disc is m and that of the lower disc is 3m. The upper block is depressed down from its equilibrium position by a distance
=5mg/K and released at t=0. Find the velocity of ‘m’ when normal reaction on 3m is mg
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGUAAACZCAYAAAA2LPStAAAQz0lEQVR4nO2de1BU5RvHv7AsuuDK7iKgiSigLpggoXgB+hmgKAqKTalhF8eatJmGyTRT6o8yLzONWcqoTU6WpqPWRJo2kiCaFxRJDZCLqQgs1+SywC6wLLvP7w+GHdeza6i7nBc6nxln4Dkv7zyP3/O+zznveS8OREQQYApHvh0Q4CKIwiCCKAwiiMIggigMIojCIIIoDCKIwiCCKAwiiMIggigM4sS3A1qtFh0dHXarXy6Xw9Gxn917xDMrV64kAHb5FxwcTHfu3OE7xMeG95ZSU1ODnTt34s0337R53QqFAkaj0eb12hveRSEiODs7w8XFxeZ1Ozg42LzOvqBfdLYajQYA0NbWBr1eDwDQ6XTQarV8umU3mBfl66+/hq+vL7Zv346EhARERETg8uXLePfddzF69GhcunSJbxdtDvOiJCYmoqWlBYmJicjIyIDBYEBhYSH27t2LDz/8EIcPH+bbRZvDvCguLi5wdnaGn58fHB0d4eXlhREjRgAAvLy80NzczLOHtod5Uf6LMC+KwWAw+72rq8vizwMJ5kXJzc3Fa6+9hosXL0KlUiE4OBgqlQotLS1oaGiAj48PVCoV327aFAcifqcYLViwAPPnz8fKlSttXrdEIkF+fj7GjRtn87rtCfMt5b8IE2/0586dQ2Njo83rHjZsmM3r7At4FyU2NhbXr19HYWHhv5a9ffs2Ojo6EBQU1Ku6ly9fjqFDhz6ti30O7znlcdi0aRPu3LmD77//nm9X7Eq/yikikYjziDwQ6VeiODk5CaKwhtBSGEQkEg3Yt/gH6VeiaLVaqNVqVFZWoh89nzw+PH6K7hU5OTk0d+5cksvlBICkUimJRCKSSCQUGRlJp0+f5ttFm8O0KLt27SIA5OvrS2fOnKHU1FSKi4ujjo4OKiwspH379pFYLKby8nK+XbUpvL88WqOyshIff/wxPvroI2zatAkA0NDQgGeeeQaDBg3ChAkT4OzsjDFjxqCpqQk+Pj48e2xD+L4rrJGYmEgrVqwws12/fp1cXV1p7dq1NHv2bJLJZLRmzRqePLQfTL7Rt7e3Y8iQISgqKoJSqTS7durUKdy9exdisRjR0dH9bgS4NzDZfanVaoSEhGDUqFGca3FxcTx41LcwKcqIESNQU1ODI0eOYMWKFdBqtfjuu++Qk5MDFxcXlJWVQalUYsGCBZg1axbf7tocJkUBgG+//RZLlixBbm4uDh06BD8/PyxatAiBgYHQaDTIysrCiy++iKioKBw/fpxvd20L30ntUURHRxMAmj59Omk0Gs71hoYGmj17NpWUlPDgnf1gtqVkZ2fj6tWr+N///ocrV65g4cKFmD17NgICAqDVapGVlYUTJ07Az89vwCV7Jp++ACAkJARJSUlYt24d6urq8M033yA/Px9SqRR3796FUqnEwoULMX/+fL5dtTlMitLU1AR3d3fU1tbC09OTb3f6HGa7r4dnzBMRqqqq8M8//wAA/P394ebmxodr9ofXjPYIwsLC6P333yetVkvr1q2jkSNHkoODAyUkJJCnpyeJRCKKjo6m7Oxsvl21OcyK8vfff5OLiwuJxWKSyWR09OhR6ujoMF2/efMmpaSkkFwuJ7VazaOntofZ7ymenp5wdXWFXq+HQqGAQqHAoEGDTNcVCgW8vb0hlUpN61cGDHzfFdZYtWoVxcXF0ZkzZygqKorEYjG5ublRUlISTZw4kUQiEQUFBVFaWhrfrtocJp++9Ho9XF1dcfnyZUyePBlA9yquW7duob6+HgaDAUqlEr6+vjx7ah+YfPqqq6tDYGAgAgMDTTYXFxc899xzpokTIpGIL/fsDpM5ZeTIkaipqUFaWhoA4Pfff0d8fDw8PDwQExMDsViMcePGYe3ataiurubZWzvAd/9pjV9++YWGDh1KPj4+JBaLaf369XTlyhWqq6ujqqoq+uGHHyguLo7GjBlDOp2Ob3dtCpM5BeheEDR69GjU1NRgyZIl2LVrFxQKhVmZyspKJCcnY9u2bfDz8zPZ6+vrUVVVZfrdyckJzz77LKqrq3H//n2TPSAgwOyJjhWYzCkA8MUXX0AulyMmJgbHjx9HcHAwZs6cicmTJ6OhoQFnz57F1atXsXz5cjNBAMDNzQ15eXmYNWsW4uPjceDAAQDdj9FJSUloaGjA/v37IRaL+QjtX2FSFCLCli1b8NNPPyE2NhadnZ04deoU8vPz0dzcjMbGRixZsgQHDx7kCAIAYrHYlHumTp0KuVwOACgpKYGLiwuOHz/O9hANz92nRVQqFUVGRpq9wT8JYrGYtm7dSkREt2/fptdff/2p6+wLmGwpXl5euHLlCvLy8jB16lQAQEFBAXJyctDW1obW1lYolUrExsb2av1JUVERUlNTsWfPHiZzCAe+7wprfPDBBzRp0iTat28fKZVKkkgkFB0dTSkpKfTGG2+Qj48PSSQS+vzzz63WIRaLaenSpTRq1ChSqVR96P3Twawoer2efHx8CABFRERQTU2N2XWj0Ujnz5+nsLAwqq6utliHWCymZcuWkbu7OwUGBnLqYBUmXx4B4Nq1a7h//z4kEglu3LiBH3/8ERUVFTAajTAYDPjjjz9w9OhRFBUVYfDgwVbrmThxIjIyMlBTU4OoqCjU1tb2YRRPCN93hTVCQ0Npy5YtpNPpaNu2bRQYGEiOjo4UHR1NTk5OJJVKaenSpVRQUGC1jgcTfU5ODkmlUgoICGC+xTApSn19PQGg2tpaM7tOp6OKigqqqKggvV7/yDqMRiM5OTmZRCEiunjxIslkMuaFYbL7cnZ2BgDOfl5qtRrNzc1obm6GTqez+vcdHR349ddf0dXVhfLyctTV1QEApkyZgjlz5qCkpARhYWE4ePAg2tra7BfIE8LsMEtcXByGDx+OL7/8Ep999hnS0tJQVlaGefPmITs7G1qtFjExMdi4cSPCwsLM/rapqcn0LR/oHlEeO3YsNBqN2fAL0L3W3t3dvU9i6jV8N1VrVFZWklQqJUdHR5LL5XTgwAFqbW01Xb9+/TqtXbuWFAoFNTc38+ip7WGy+wK6uzBnZ2c4ODhAJBJh1KhRGDJkiOm6t7c3AgICIJPJBt6eX3zfFdZYtmwZLV68mMrKyigpKYmcnJxIoVDQq6++SqGhoSQWiykgIICOHDnCt6s2h8mcotPp4Orqihs3bpi2/NBoNCguLkZ9fT30ej2USiVn7cpAgcmxr4aGBoSFhZnNER4yZAgnoQ9UmGwpRAR3d3fs378fCQkJAIDS0lLk5uZCo9Ggra0NSqUSM2fO7B8DjI8Lr53nI9ixYweNHTuW0tPTacaMGeTs7ExTpkyh1atX06JFi8jDw4Pc3Nxo9+7dfLtqc5gVxWAwUFhYGAGg8ePHU2lpqdn1zs5OOnnyJAUEBPSrEeDewOwj8b1791BcXAyJRIKqqipkZWVBrVbDYDCgpaUFv/32Gw4fPozKysp+uafXI+H7rrBGbGwsJScnU1tbG23fvp28vb0JgGl114gRI2jVqlVUVlbGt6s2h8lEr9VqTYuDHpwF2dTUBK1WCzc3N0ilUh49tC9MPhJrtVpERkZi+PDhZna5XG6aBDGQYTKneHh4oKioCOnp6Wb21tZWREdHY86cORg7dixeeukl3Lhxgycv7Qjf/ac1du/eTb6+vtTY2GiyHTt2jCZMmEB5eXmUnp5O7733Hsnlcqqrq+PRU9vDrChGo5GmTZtGMpmM0tPTiYho7969FBcXZyrT3t5OM2bMoNzcXL7ctAtMJvoe1Go1IiIiUFRUhLlz50IsFqO8vByvvPIKCgoKkJGRgfDwcPz8888DahY+kzmlB5lMhsLCQhQXFyMyMhJ1dXVobGxEXl4e/Pz8kJaWhmPHjg0oQQBGx76skZqairNnz5qWSAxUmG4pD9PV1TXgWoUl+pUoBoNBEIU1/iui2CWnTJo0Cbdu3epX5yz6+vpizZo1djkE9HGxyzBLQUEBsrOz+9W+KsnJyVCr1Xy7AcBOohARRo8ebTpl7nG5d+8etm7dCmdnZ3zyySd9cg6KPU5kfVKYyynNzc3IyMjA6tWr0dLSghUrVvDtUp/DnChisRhvv/02AgMDsWPHDrNrnZ2daGtrg9FoNM31IiLU19fz4ardYE6Unm6EiJCWloadO3cCAG7evIlx48Zh06ZNWL58Ofz9/ZGVlYUNGzYgPDwcKSkpfLptW+wxoAbA6kKe3tDW1kY7duwgiURC69atM9nDw8MpNTWViIg2b95M8fHx1NXVRaWlpeTl5fVUPr/88su0bdu2p6rDVjDXUoDuowCTk5Px559/Ys+ePSgtLQXQ3Yp65oJ5eXlh2LBhEIlE8PT0HFBTV5kUpYcJEyZg+vTpkMlkfLvSpzAnSmVlJQoLC0FEyM3NxZQpU0w7TTx4ylDPufQP/zwQYO4bfW1tLXbt2gV/f38EBQVh8+bNAIDy8nKEhoairKwMLS0tpm1CKisr8ddff+Gtt97ChQsX8Pzzz/McwdNjl2EWBwcHVFdXP/HLIx8sXrwY06ZNw5o1a/h2xX4t5ejRo/0qFzy4kQ7fcFqKRqPBO++8A4lEYlawq6sLRMTZZKa9vZ1TNisrC1qtFo6O5inLaDRybNbsj1O2J4SHB0CtlSUijl2v1yMoKAj+/v5mf9/V1WVag/momIkICQkJWLBgAcfnx4XTUoxGI0pLSxEdHW1mv3btGnx9fc22dyIinDlzhnMyQ0hICKRSKby9vc3smZmZnLIqlco0i/7fyup0Oly9epWTNy5duoTQ0FCz/yij0Yhz5871Oo7MzEyEh4eblS0uLoZUKoWXl1ev4igpKbGJKJyXx8zMTMrIyOC80Kxfv55jy8/Pp0OHDnHsGzZsIIPBYGarrq6mnTt3cspu3LiR2tvbzWxarZY2btzIKXv48GHKy8vrlW+PE0deXp7FOFJSUshoNJrZamtr6auvvuKU/fTTTzlxPCmc/uHSpUt44YUXzGwtLS0WV9Cmp6cjPj7ezKbX6zF48GBO93Dy5EksWrSIU0dXVxdnx4jTp09j3rx5nLLFxcUIDg42s6lUKovbS1mL4+GN3KzF0ePXw13iiRMnLMbRE7ctsPie4uRk3qudOnXKYrNsb2/nzHi/cOECp8sAgJqaGk53VlhYiEmTJnHK5ufnm3ZZ7aGzsxOurq6csidPnkRiYqKlMJ46jqioKE7ZqqoqzqFs1uJ4UsxEuXbtmmkrpwe5c+cOxo8fb2ZTqVQYM2YMp2xubi6nb25tbbV4h2ZmZnKOczIYDBZXZ2VlZSE2NpZjb2xshIeHh5nNWhw9p0k8HIelrXRzc3MRERHBicPSXOaMjAyLLftJMRPl/PnziImJMStg7Q5NT083LX3rgYggEok4XZelskB3k3/4KebChQucbgfovhtDQkLMbI2NjRa/blqLw9KHLGu+iUQiTtdlqZsDuh9AbPqR7MEEY+kQS61WS/X19Ry7pbKdnZ0WR4crKiosJjRL9scp29TURC0tLb3yTaPR0P3793tVVq/XW9y7xdohn7Y+/LNfTcb7r8DcgKSAIAqTCKIwiCAKgwiiMIggCoMIojCIIAqDCKIwiCAKgwiiMIggCoMIojCIIAqDCKIwiCAKgwiiMIggCoMIojCIIAqDCKIwiCAKgwiiMIggCoMIojCIIAqDCKIwiCAKgwiiMIggCoMIojCIIAqDCKIwiCAKgwiiMIggCoMIojCIIAqDCKIwiCAKgwiiMIggCoMIojCIIAqD/B/enHoSbQD6NQAAAABJRU5ErkJggg==)
physics-General
physics-
A block of mass 'm' is released from rest at point A. The compression in spring, when the speed of block is maximum
![](data:image/png;base64,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)
A block of mass 'm' is released from rest at point A. The compression in spring, when the speed of block is maximum
![](data:image/png;base64,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)
physics-General
physics-
A uniform rod of length l and mass m is allowed to rotate in a horizontal plane about a vertical axis OO¢ passing through one of its ends with an angular velocity
. Then the tension in the rod in terms of distance x measured from the axis of rotation is:
![](data:image/png;base64,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)
A uniform rod of length l and mass m is allowed to rotate in a horizontal plane about a vertical axis OO¢ passing through one of its ends with an angular velocity
. Then the tension in the rod in terms of distance x measured from the axis of rotation is:
![](data:image/png;base64,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)
physics-General
physics-
A particle P of mass m is attached to a vertical axis by two strings AP and BP of length l each. The separation AB=l. P rotates around the axis with an angular velocity
. The tensions in the two strings are ![T subscript 1 end subscript blank a n d blank T subscript 2 end subscript](data:image/png;base64,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)
![](data:image/png;base64,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)
A particle P of mass m is attached to a vertical axis by two strings AP and BP of length l each. The separation AB=l. P rotates around the axis with an angular velocity
. The tensions in the two strings are ![T subscript 1 end subscript blank a n d blank T subscript 2 end subscript](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEsAAAARCAYAAACVW1F7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAeBJREFUeNpjYIAAJiD+BcT/8eBfUHWDGXzD4Uaa+k8NiC8wDC2gAsSXBsJ/QUC8dIgFVgAQLx8I/zUCcQkVPcIENfMlNLmDYlUeTU091E5xIJ4PzVLvgDgPi3k8QDwJiD8A8Q8gXgPEU4C4fCD8B7Lcj4qBtQXqOUFowK2CpgRksAoaMKCAsoeqk4YGBhdawO8H4kQomw8a0P+xmEkX/90FYkkqmRUJDQhksBCIvdDEbgFxGhb9oNQljMSvxZGCbkEDl67+YwHiL1RMVaBUYIkmdhAtGzLhsJMFmh2RwWNoNkTP5t8Gwn+WUA/SqjrHFjDmOOxEd4sBNKAZiNRPc/9FQssNQlVvLZHV72s0vjUQnyPSTnRxUC22mEw3E6sWud11FNokwQlABXEyAQsXQ8uX/0Q47ikQc6CVOWuItBNdPABL+YfsHmIAMf6D5YAsLBGLAtZhKXzxxQIh0AzEM6GWy0PbN9uItBNdHFQrXoNmRxAwhta0T0lwMyn+Y4DWxjjBO7SUQGlggUA1NEXUQs1+iVbN47ITm7g41MMgTxwHYkcS3UyKWnscZSRZ4D+Z+kSHQI9AElpmKQ10YA12oAbN3pLUNHQ4BpYktEzlo7bBwzGwQAGlQe1AQsfDBeD0GwCpsonO8ei7NAAAAL10RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1Yj48bWk+VDwvbWk+PG1uPjE8L21uPjwvbXN1Yj48bWk+JiN4QTA7PC9taT48bWk+YTwvbWk+PG1pPm48L21pPjxtaT5kPC9taT48bWk+JiN4QTA7PC9taT48bXN1Yj48bWk+VDwvbWk+PG1uPjI8L21uPjwvbXN1Yj48L21hdGg+M2HV9wAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
physics-General
physics-
A single wire ACB passes through a smooth ring at C which revolves at a constant speed in the horizontal circle of radius r as shown in the fig. The speed of revolution is
![](data:image/png;base64,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)
A single wire ACB passes through a smooth ring at C which revolves at a constant speed in the horizontal circle of radius r as shown in the fig. The speed of revolution is
![](data:image/png;base64,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)
physics-General
physics-
A body is thrown with a velocity of 10 m/s at an angle of 45° to the horizontal. The radius of curvature of its trajectory in
sec after the body began to move is :
A body is thrown with a velocity of 10 m/s at an angle of 45° to the horizontal. The radius of curvature of its trajectory in
sec after the body began to move is :
physics-General
physics-
Two identical blocks of weight W are placed one on top of the other shown in figure. The upper block is tied to the wall. The coefficient of static friction between B and ground is
and friction between A and B is absent when F = mw force is applied on the lower block as shown. The tension in the string will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAABmCAYAAAB4B1uYAAARO0lEQVR4nO2da1AT1xvGn4QAGq5yERABQbGIikhxBLl4AQqZUdAqtooN1dap2s6Uy9ji2HG8fGinFqVeESuIWqj1ilpBGVDBIoIWi21QlItSEcUIBQMGSPb/wT9pl6AukG3Cen4zftjXTfZh9zmbPWff9xweRVEUCASOwte2AAKBTYjBCZyGGJzAaYjBCZyGGJzAaYjBCZyGGJzAaYjBCZyGGJzAaYjBCZymXwavra1FSkoKpk+fjitXrmhaE4GgMQRMdywvL8elS5fQ2dkJZ2dnLFmyBLt378aTJ0/Y1EcgDAhGBj948CDs7OywcuVKCASM2wShFxQKBYqKihAQEKBtKW8EjNz6wQcfsK3jjeHUqVPYtGkTrl+/Dh6Pp205nGdAnUySadt3tmzZgrKyMpSUlGhbyhtBn583pFIpzp49i8ePH6OpqYkNTZylpKQErq6ukEgk2LVrF6ZOnaptSZyHkcHr6uqQk5ODZ8+ewdLSEiKRCNbW1jh06BDb+jjFtm3bsHHjRtjY2GDr1q1ITEyElZWVtmVxGkaPKDU1NVi0aBFiY2MhFothbW3Nti7Ocf/+fQCAi4sLVq1aha6uLqSlpWlZFfdhZPDAwEAYGxuzrYXTbN++HbGxsQAABwcHzJ8/H8nJyVAqlVpWxm36PeanUCjQ1tamSS2cpbW1FaWlpRgxYgQKCgoAAM7Ozvj5559x/vx5hIWFaVkhd+mTwdvb25Gbm4vq6moIBAIyzMWQtLQ0xMTEYO7cuaoYRVHIyMjArl27iMFZhJHBs7KyUFNTA6FQiJCQEISHhwMA9u3bx6o4LkBRFI4cOYILFy7Q4jweDwsWLEBSUhLu3LkDV1dXLSnkNowMHhQURJ7B+0FTUxN27NiBlpYWFBQUYNasWar/q6+vh1QqhZGRET7//HMkJiZi3LhxWlTLTXgDmRdl8uTJ2LhxI+bMmaNJTQSCxuh3J7OsrAxPnz7VpBado6SkBI2NjdqW0S8cHR0xceJEbcvQOowNrlAoUFBQgN9//x3Ai7v3sGHDWBOmC3zzzTe4efMmhEKhtqX0CT09PQQHB+Pbb7/VthStw8jghw4dQlNTEwICAhATE6OKc30UpbGxERs2bMDixYu1LaVPbNiwQfVi6U2HkcGXLFnCtg4CgRVIyRqB0/Srk1ldXY3c3FxIpVJN6+EUpaWl+OuvvwAAQ4YMgb+/PwoLCyGXywEAFhYWmD59OgDgxo0bqKmpgUAgQGBgIMzMzLSmm0swNnhZWRkuX74MhUKB0aNHQywWIzk5mU1tg57uYdQzZ86gsLAQJiYmGD9+PDw8PGBmZoaqqirVvpMmTcJXX32F2NhYYm4NwugRJSMjA62trVi1ahViYmIwZ84cDB06lG1tgx6BQIBVq1YBAO7cuQMAcHJywvLly9HY2AiFQqHal8fjYejQofDz89OKVq7CyOCLFy9GYGAg9PT02NbDOUJCQmBjY4OsrCxVbNGiRXj+/Dny8vJUsaqqKri7u2PIkCHakMlZBtTJJKmer0cgECAqKgrZ2dmqCqiGhgYAL4q5uzly5AgWLlyoFY1cps8Gf/ToEfbv34+tW7eiubmZDU2cIzo6Gh0dHTh+/DgA4OzZs1i+fDmysrLQ0tICAJBIJBg/frw2ZXISRp3Mqqoq5Obmor29HcOHD0d4eDgsLCyQnp6O5ORknDt3jm2dWkFTc754eHjA09MTmZmZWLZsGaRSKdatW4e9e/fi2LFjCAgIwJgxYzRyLAIdRgZ/9OgRxGJxr6+shUIhTE1NNS5MF+DzNfeaIDo6GnFxcTh37hw8PT3h7u6OSZMm4eDBg2hoaEBkZKTGjkX4B0YGnzZtWq9xHo8HsVjM2WzCwsJCjX3X4sWLsXr1aqxcuRJnzpxRxRISEmBiYoI1a9Zo7FiEf+j3LaqzsxMymUyTWjjN8OHDIRKJwOPx4O7uDuDFaApFUZgyZYqW1XGXPr3JfPbsGXJyclBXVwcDAwMybNhHoqOjUVhYqEpSc3BwQGBgIBk9YRFGBj927Bju3bsHExMThIaGYsGCBQCAH374gVVxXCM8PJxW1QO8GB4cPny4lhRxH0YGF4lEgy4nWhfR19dXy6En5mYXRs/gxNyEwUq/sgmVSiVKS0tJNiFB52Fs8M7OTly8eBHl5eXg8XiYMmUKLCws2NRGIAyYPpWsTZ8+HXFxcapRAK6XrCmVSlRXV6O0tFTbUvrEw4cPOX9tGEMNAE9PT+rUqVMD+QqdxtXVlQIw6P7x+XzK19dX26dPJyDrkbwCGxsbfPrpp7Qp1wYDSUlJqiSuN51+Gfzu3btvTMmatbU1nJyctC2jT5ibmxOD/x/GBr927RqKioqgUCgwduxYLF26FCkpKWxqIxAGDCOD//jjj3B0dMRnn32m0Qy7/xq5XI6LFy/SZuTi8XiwsbHB22+/zVpWpEwmQ3Z2Njo7OwEA48ePh7GxMa5evarS4O/vj5EjR0ImkyEvLw8ymQxOTk4vTXQjMIORwaOiotjW8Z9gaGiIadOmwcfHB0qlEidPnoRcLsfZs2fx3nvvIS4uDl9++aXGRyCMjIzg5eWF0aNHY+rUqbhy5Qp4PB5++uknrF27FomJiRg5cqRqX3d3d0RFRaGoqEijOjRFY2MjJBLJSxch8/b21pnJWt+4krXuynYzMzO89dZb8PDwQEJCAtatW4c1a9YgMzOTleO6uLhAJBLh9u3bqvMWGxsLExMT1dQS3VRWVkIsFutsMpu1tTVsbGwQFBSEAwcOwNjYGMbGxmhtbUVMTAwkEom2Jaros8EbGhqQlpaGpKQk/P3332xo0gpeXl4AgOvXr7N2jKioKDQ3N+PSpUsAgKFDhyIiIgKnTp2i3Q1zcnLw/vvvs6ZDE7i5ucHMzAwjRoyAt7c3vL29MWfOHGzfvl2n0qgZPaJ0j5rI5XLY2tpi3rx5MDc3R3p6Otv6/jO6jS0SiVg7xrx582BiYoLMzExVVmF9fT2qqqpQXFwMX19fdHV1oaWlBZaWlqzpeB13797FvXv3ALyoavLz84OBgQGjz+raCs6MDP7kyRMsXbqUU1Ma1NbWYvPmzejs7MSff/6JkydPIiUlBcHBwawdUygUIjIyEseOHcPOnTvR1tYGR0dHDBs2DAcPHoSvry8KCgowY8YM1jQwwdbWFl9//TVSU1MBvKgp3bdvH7y9vV/5uYsXL2pde08YGdzHx4dtHf85Tk5OWL16NZRKJSQSCZqbm/HFF1/A0tIS7777LmvHjY6ORmpqKs6dOweZTIbw8HDo6+vj8OHDSEpKQlZWFtavXz/g41RVVWHjxo39/ryTkxMWLlyI06dPo7y8HFOnTkV8fDzWr19Pyy4tLi5GYmIiZDIZjhw5gps3bw5Yuybp95vMjo4OnXrW6ivdIyV8Ph8TJkxAVlYW3Nzc8PHHHyMiIoK1Dp6/vz+cnZ2RkZEBoVCI77//HhYWFti7dy9Onz6N1tZWjcy73t7ejrq6ugF9R1tbG/T19dHe3g6lUokHDx6gvb2dZnAfHx/Ex8dDLpfr5MulPhm8paUFOTk5ePDgAQwNDXW2l98fBAIBxo4di+zsbDQ3N7P2DMzn8yEWi7F582bMnTsXxsbGCAgIgL29PeLj4wd01/03EyZMwN69e/v12a6uLmzatAmpqalQKpWwt7dHcnIyZs+e/dLPGBoaIi4urr9yWYORwY8ePYq6ujqYmZkhLCwMI0aMAIB+n0Bt0z2767+pqqpCfn4+IiMjWe/gicVibNiwQTUPIZ/Px6JFi7Bt2zZERESwemwmVFRUwNnZGfv27QOfz0dERASjCUG7faFLMDL47NmzOdHBlMvlKCgoQEVFBRQKBRISEmBra4snT56guLgY8fHxWLt2Les6XFxcEBgYSLsjRkVFobKyUidmlp04ceJr1/ehKIo2eaiuwsjgXDA38OJnNCQkBJWVldqWghMnTtAKRiZNmjRo1q5vbm5GTk4OWlpacOvWLdy4cQOenp7altUr/epkUhSF4uJizq+yxiY9q6F4PN6gqZASCoUICwtTTSaqyzA2eEdHB/Lz8yGRSKCnpwcfHx/Or7JG6B0DAwPGL360DSODHzhwAC0tLQgKCqKtq07Kogi6DiODi8VitnUQCKwweJO7CQQG9KuTWVFRgfz8fEilUigUikExXNQfHBwckJCQgNjYWG1L6RNdXV1YuHChxq8Lj8cbdAUvPOplWev/gqIolJSUoLi4GBRFwd3dHTNnzsT8+fNx/vz5Xl+cELiHq6srUlJSdC6h6lUwMnhmZiZGjRoFHx8fWsdSKpVi586dWLFihSpWW1uLiooKWtrpiRMn4OfnR5uHb9euXaoVyLpJTk6mfVdbWxuOHz9OW2m5pKQEfD6fltmWnp6OyMhIWo5Ez+/q7ZgNDQ24evUq7e3hL7/8Ag8PDzg4OKhiu3fvxooVK2h/+549e/DJJ5+otjs6OpCRkYEPP/xQFSsvL0dLSwv8/f1p53L27NkwMTF5qVaKorB7926a1qdPnyIvL482UX5eXh4cHR3h6uqqiqWkpGDZsmUQCP75ce6pVaFQYP/+/fjoo49UscrKSty/f5+WTXn06FHMnDlT9WZXIBAgPT19cP2iDXTeic2bN6vFtmzZQttuamqi0tLSaLHc3FyqrKyMFtuxYwcll8tpsa1bt9K2FQqFWqyqqoo6efIkLZaZmUk9fPiQFvvuu+9eq1Umk1EpKSm02OXLl6mioiJabM+ePZRMJnulVoqiqMTERNp2fX09dfjwYVrsxIkTVE1NjZrWrq6uV2qVy+XUzp07abHr169TeXl5tFhqairV3NzcZ61SqZQ6cOAALZadnU1JJBK1z+oqA36gGjduHG7dukWL6enpoaurS7Vtbm6utmDVjBkzVJUt3cyaNQsXLlygxSwtLWkvlPh8vtqzpYuLC6qrq2kxkUiE7OxsWmzy5MkoKyujxQwNDdHR0aHaFgqFalmSvr6+KC4upsXeeecdnD9/nhazs7PDw4cP8Srs7OxQX1//2u/y9fVVFSV3Y2RkhLa2NtW2gYGB2uOhl5eX2t8oEomQk5NDizk7O6O2tpYW4/F4tDJECwsLtalBertGusyADR4cHExb7xF4UdXx66+/0mKmpqZobW1VbQsEAlWVeTfjxo1DRUUFLdabUd3c3NT269mozMzM1ErqAgMD1ZYlmTVrFvLz82kxJo1q1KhRqKmpUdPa00ienp747bffaLHeGtW/jQu8SEPt2ahCQ0PVGoK9vb1ag+mJra2t2j4hISFqi4f5+PjgypUrtJiRkRGtwRsYGNC06zoDNrihoSGeP39Oi3l6eqrdRUJDQ9VOqIuLi5pJeDwerT7RysoKjx8/pu3zskZ1+fJlWoxJo3Jzc1P7BeqtUbm7u6sV0woEAprxTU1N1X6pemtUQUFBao3KysqKdrfk8/lQKpW0c+Hk5KR21w0LC1NrVF5eXmq1pUOGDKHd7V/WqHr+avS3UekKGhnzGTNmDO3C8ng8tZRTe3t7tYYQGhqqdiH8/Pxw+/ZtWszOzo5mJENDQ1onDXjRqHom+IeFhalNnOnu7q7WYKysrNS2qR5976CgIJSXl9NiM2fOxB9//EGLjRw5kmYkgUAAc3Nz2j5jx45VW6JQJBKhpKSEFvPy8lL7m6ytrWnbpqam0NfXp8UCAwPVGm1wcDBu3LhBi40aNYp2d+7tujk6Oqo9soWFheHatWsYDDAaRSEQBiuDa9SeQOgjxOAETkMMTuA0xOAETkMMTuA0xOAETkMMTuA0xOAETkMMTuA0xOAETkMMTuA0xOAETkMMTuA0xOAETkMMTuA0xOAETkMMTuA0xOAETkMMTuA0xOAETkMMTuA0xOAETkMMTuA0xOAETkMMTuA0/wPPetzXI6fU2QAAAABJRU5ErkJggg==)
Two identical blocks of weight W are placed one on top of the other shown in figure. The upper block is tied to the wall. The coefficient of static friction between B and ground is
and friction between A and B is absent when F = mw force is applied on the lower block as shown. The tension in the string will be
![](data:image/png;base64,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)
physics-General
physics-
Block A is placed on cart B as shown id figure. If the coefficients of static and kinetic friction between the 20 kg block A and 100 kg cart B are both essentially the same value of 0.5 ![open square brackets g equals 10 m divided by s to the power of 2 end exponent close square brackets](data:image/png;base64,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)
![](data:image/png;base64,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)
Block A is placed on cart B as shown id figure. If the coefficients of static and kinetic friction between the 20 kg block A and 100 kg cart B are both essentially the same value of 0.5 ![open square brackets g equals 10 m divided by s to the power of 2 end exponent close square brackets](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
For the two blocks initially at rest under constant ext. forces of mass1 kg and 2kg shown,
Which of the following is correct?
![](data:image/png;base64,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)
For the two blocks initially at rest under constant ext. forces of mass1 kg and 2kg shown,
Which of the following is correct?
![](data:image/png;base64,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)
physics-General
physics-
Three blocks lie on each other as shown. Horizontal force F (variable) is applied on block A. Choose the correct statements. ![open parentheses g equals 10 m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
Three blocks lie on each other as shown. Horizontal force F (variable) is applied on block A. Choose the correct statements. ![open parentheses g equals 10 m divided by s to the power of 2 end exponent close parentheses](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+RLjYQMRmuAOdQXcnAFedchQAAAMJ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZlbmNlZCBzZXBhcmF0b3JzPSJ8Ij48bXJvdz48bWk+ZzwvbWk+PG1vPj08L21vPjxtbj4xMDwvbW4+PG1pPm08L21pPjxtbz4vPC9tbz48bXN1cD48bWk+czwvbWk+PG1uPjI8L21uPjwvbXN1cD48L21yb3c+PC9tZmVuY2VkPjwvbWF0aD4MHyohAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
physics-General
physics-
A smooth bead B of mass 0.6 kg is threaded on a light inextensible string whose ends are attached to two identical rings, each of mass 0.4 kg. The rings can move on a fixed straight horizontal wire. The system rests in equilibrium with each section of the string making an angle
with the vertical, as shown in the diagram.
![](data:image/png;base64,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)
A smooth bead B of mass 0.6 kg is threaded on a light inextensible string whose ends are attached to two identical rings, each of mass 0.4 kg. The rings can move on a fixed straight horizontal wire. The system rests in equilibrium with each section of the string making an angle
with the vertical, as shown in the diagram.
![](data:image/png;base64,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)
physics-General
physics-
On a particle moving on a circular path with a constant speed v, light is thrown from a projectors placed at the centre of the circular path. The shadow of the particle is formed on the wall. the velocity of shadow up the wall is
![](data:image/png;base64,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)
On a particle moving on a circular path with a constant speed v, light is thrown from a projectors placed at the centre of the circular path. The shadow of the particle is formed on the wall. the velocity of shadow up the wall is
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)
physics-General
physics-
In the figure shown, the minimum force F to be applied perpendicular to the incline so that the block does not slide is
![](data:image/png;base64,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)
In the figure shown, the minimum force F to be applied perpendicular to the incline so that the block does not slide is
![](data:image/png;base64,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)
physics-General