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A force F=t is applied to block A as sho...

A force F=t is applied to block A as shown in figure. The force is applied at t=0 seconds when the system was at rest and string is just straight without tension. Which of the following graphs gives the friction force between B and horizontal surface as a function of time 't'.

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
C
Let `m_A` and `m_B` be the mass of blocks A and B respectively. As the force F increases from 0 to `mu_sm_ag`, the frictional force f on block A is such that `f=F`. When `F=mu_sm_Ag`, the frictional force f attains maximum value `f=mu_Smg`.
As F is further increased to `mu_S(m_A+m_B)g`, The block A does not move. In this duration frictional force on block A remains constant at `mu_Sm_ag`.
Hence (c) is correct choice.
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