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Q.

A wedge-shaped block 'A' of mass M is at rest on a smooth horizontal surface. A small block 'B' of mass 'm' placed at the top edge of inclined plane of length 'L' as shown in the figure. By the time, the block 'B' reaches the bottom end, the wedge A moves a distance of

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a

mLMcosθ

b

mL cosθm+M

c

mLm+M

d

Zero

answer is B.

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Detailed Solution

Since there is no external force, the centre of mass of the system will be same.

 Let x1 is the wedge position from origin 

x is the distance moved by wedge 

Let centre of mass of the wedge is at x1 .

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Mx1+mx1+Lcosθ(m+M)=Mx1+x+mx1+x(m+M)

 x=mLcosθ(m+m)

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