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A sufficiently long plane of mass 4kg is...

A sufficiently long plane of mass `4kg` is placed on a smooth horizontal surfaces A small block of mass `2kg` is placed over the plank and is being acted upon by a time varying horizontal force `F = (0.5t)` where F is in newton and t is in second as shown in figure. The coefficient of friction slipping the plank and the block is given is `mu_(s) = mu_(k) = mu`, at time `t = 12s` the relative slipping between the plank and the block is just likely to occur

The coefficient of friction `mu` is equal to

A

`0.10`

B

`0.15`

C

`0.20`

D

`0.30`

Text Solution

Verified by Experts

The correct Answer is:
c
`0.5t = mu mg (1+ (m)/(M)), t = 12 s`
`rArr mu = 0.2`
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