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In the figure shown, all surfaces are sm...

In the figure shown, all surfaces are smooth and the pulley is massless. A constant force of magnitude `F = (mg)/(2)` is acting on the block of mass M. The acceleration of the block M is :

A

`(mg)/(2(m + M))` towards right

B

`(mg)/(2(m - M))` towards rights

C

`(mg)/(2(m - M))` towards left

D

`(mg)/(2(m + m))` toward left

Text Solution

Verified by Experts

The correct Answer is:
D
mg - T = ma …(i) and T - F = Ma ….(ii)
Adding equation (i) and equation (ii)
`mg - F = ma + Ma mg - (mg)/(2) = a (M + m)`, `a = (mg)/(2)(M + m)` (Towards left)
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