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Question

Assume that all surfaces are frictionless. Two bodies B and C have mass m find which of the following is true? Mass of A is M.
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A
F=(M+2m)a
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B
F=Ma
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C
F=(M+m)a
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D
none of these
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Solution

The correct option is C F=(M+m)a
Considering A and B to be a system, normal force between them becomes internal force. Since all surfaces are frictionless, the only force acting on this system in the horizontal direction is F, and there is no force acting on C in the horizontal direction. Therefore, F=(M+m)a, where a is the acceleration of this system in ground frame.

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