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Standard XII

Physics

Velocity of COM

Assume that a...

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.

F = (M + 2 m) a

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F = M a

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F = (M + m) a

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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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