Q.

A ball of mass m is allowed to roll down the wedge of mass M = 2m as shown in the figure. What is the displacement of wedge (in m) when the ball reaches from A to B? Take θ=450,h=1m,d=4m
 

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answer is 2.

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Detailed Solution

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Displacement of Wedge is ΔXwedge  towards left.

MΔXwedge =m(2hcotθ+d-x)
ΔXwedge =m(2hcotθ+d)(M+m)=m2m+m(4+2×1×1)=13×6=2m

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