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A block A of mass m is placed over a pla...

A block `A` of mass m is placed over a plank` B` of mass `2m` plank B is placed over a smooth horizontal surface .The coefficient of friction between `A` and B is `0.4` Block A is given a velocity `v_(0)` toward right Find acceleration (in `ms^(-2)` of `B` relative to `A`

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The correct Answer is:
6
Force of friction between the two will be maximum i.e. `mu mg`
Retandation of A : `a_(A) = (mu mg)/(m)= mu g`M
and acceleration of B is `(mu mg)/(2m)= (mu g)/(2)`
Acceleration of B relative to A is `a_(BA) = a_(A) + a_(B) = (3mu g)/(2)`
Substitating `mu = (1)/(2) , a_(BA)= (3g)/(4)`
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