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Byju's Answer

Standard XII

Physics

Com of Solid Bodies

A block A of ...

Question

A block A of mass 4kg is placed on another block B of mass 5kg and the block B rests on a smooth horizontal table. If the minimum force that can be applied on A so that both the blocks move together is 12N,find the maximum force that can be applied on B for the blocks to move together.

30 N

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25 N

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27 N

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48 N

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Solution

The correct option is D 27 N
In the first case, friction acts only between the 4kg block and the 5kg block.
As a result if 12N is the force required for both the blocks to move together,
In the second case, we consider both the blocks as a system and the force acting between them is an internal force.
Thus the ratio of the forces applied on a block to the mass of the block should be a constant.
$\frac{12}{4} = \frac{F}{9}$
Hence, the maximum force F = 27 N

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