FrictionHard

Question

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 applied 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.

Options

A.the magnitude of P should increase with time
B.the magnitude of P should increase with time
C.the magnitude of P should increase first and then decrease with time
D.the magnitude of P should decrease first and then increase with time

Solution

(A)    For chain to move with constant speed P needs to be equal to frictional force on the chain. As the length of chain on the rough surface increases. Hence the friction force fk = μk N increases.
Hence A is correct choice. 

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