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A force F=2t is spplied at t=0 sec to th...


A force `F=2t` is spplied at `t=0` sec to the block of mass m placed on a rough horizontal surface. The coefficient of static and kinetic friction between the block and surface are `mu_S` and `mu_k` rspectively. Which of the following graphs best represents the acceleration vs time of the block`(mu_Sgtmu_k)`?

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
D

Let `t_0` be the time when friction force is maximum
`F=2t_0=mu_Smg`
The block just starts moving immediately after this instant, with acceleration
`=(mu_3mg-mu_kmg)/(m)=(mu_S-mu_k)g`
For `tgtt_0` the accelration of the block is
`a=(2t_0-mu_kmg)/(m)`
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