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Standard XII

Physics

Problem Solving

A chain of le...

Question

A chain of length L is placed on a horizontal surface as shown in Fig. At any instant, x is the length of chain on the rough surface and the remaining portion lies on the smooth surface. Initially x=0. A horizontal force P is applied to the chain (as shown in the figure). In the duration, x changes from x=0 to x= L. For the chain to move with constant speed.

The magnitude of P should increase with time.

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The magnitude of P should decrease with time.

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The magnitude of P should increase first and then decrease with time.

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The magnitude of P should decrease first and then increase with time.

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Solution

The correct option is D The magnitude of P should increase with time.
Since as $x$ increases frictional force increases linearly. The force $P$ must be equal to frictional force so that net force is zero and there is no acceleration.
Answer, Magnitude of $P$ should increase with time.

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Similar questions

Q. A chain of length L is placed on a horizontal surface as shown in figure. At any instant x is the length of chain on rough surface and the remaining portion lies on smooth surface. initially x = 0. A horizontal force P is apllied to the chain (as shown in figure). In the duration x changes from x = 0 to x = L, for chain to move with constant speed.

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The correct option is D The magnitude of P should increase with time.Since as x increases frictional force increases linearly. The force P must be equal to frictional force so that net force is zero and there is no acceleration.Answer, Magnitude of P should increase with time.

The correct option is D The magnitude of P should increase with time.
Since as $x$ increases frictional force increases linearly. The force $P$ must be equal to frictional force so that net force is zero and there is no acceleration.
Answer, Magnitude of $P$ should increase with time.