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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_(g)mg`
The block just starts moving immediately after this instant, with acceleration
`=(mu_(s)mg-mu_(k)mg)/(m)=(mu_(s)-mu_(k))g`
For `tgtt_(0)` the acceleration of the block is
`a=(2t_(0)-mu_(k)mg)/(m)`
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