First slide

Connected bodies

Question

In the figure shown, all the 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

Moderate

A

mg/ 2(m+M) towards right
B

mg / 2 (m - M) towards right
C

mg / 2 (m - M) towards left
D

mg / 2 (M+m) towards left

Solution

The system can be visualized as shown in figure. The acceleration of the block M is
$\large a = \left[ {\frac{{mg - \frac{{mg}}{2}}}{{m + M}}} \right] = \frac{{mg}}{{2(m + M)}}$ (towards left)

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