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Q.

In the system shown, the acceleration of the wedge of mass 5M is (there is no friction anywhere)
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a

g/2

b

g/4

c

g/3

d

Zero

answer is A.

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Detailed Solution

Suppose M moves a distance x to the left w.r.t. wedge, then displacement of wedge
 

\large = \frac{{Mx}}{{8M}}\

  to the right.
Simultaneously, due to 2M, displacement of wedge
 

\large = \frac{{2M \times \cos 60}}{{8M}}\

to the left
Net displacement = 0

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