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Question

In the figure shown, if a ball of mass m is at rest relative to the wedge moving to the left with an acceleration a=g3, find the force exerted by the vertical face of the wedge on mass m.


A
2mg3
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B
mg3
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C
4mg3
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D
3mg4
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Solution

The correct option is C 4mg3
Using pseudo force concept
In the frame of reference of the wedge, the mass m has no acceleration.
The force exerted by verticle face on m is the normal force N1
From FBD of the sphere we have

N1=ma+N2cos60°
and, N2sin60°=mg
N2=mg23
N1=mg3+2mg3(12)=4mg3

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