| 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 tin: 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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A) the magnitude of P should increase with time
B) the magnitude of P should decrease 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
Correct Answer: A
Solution :
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 \[{{f}_{k}}={{\mu }_{k}}\,N\] increases.
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