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In the given figure, the blocks of mass ...

In the given figure, the blocks of mass `2 kg` and `3 kg` are placed one over the other as shown. The surface are rough with coefficient of friction `mu_(1)=0.2, mu_(2)=0.06`. A force `F=0.5t`( where `'t' "in" sec`) is applied on upper block in the direction shown. Based on above data answer the following questions.
`( g= 10m//sec^(2))`

The relative slipping between the blocks occurs at `t=`

A

`6 sec`

B

`8 sec`

C

`(28)/(3) sec`

D

Never

Text Solution

Verified by Experts

The correct Answer is:
C

Let both blocks move together with acceleration `'a'`
`therefore 0.5t-f_(1)=2a`....(i)
`f_(1)-3=3a`.....(ii)
When `f_(1)` equals to `4 N` then relative slipping just likely to occur. Putting `f_(1)=4` in (ii)
`therefore 4-3=3arArr a=(1)/(3)` putting `f_(1)=4`,
`a=1//3` in (i) We get `t=(28)/(3)sec`
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