Example 6 A block A of mass 4 kg is
placed on another block B of mass 5 kg, and the
block B rests on a smooth horizontal table. For
sliding block A on B, a horizontal force of 12 N is
required to be applied on A. How much maximum
force can be applied on B so that both A and B
move together ? Also, find out acceleration
produced by this force. (Central Schools 2014)
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Answer:
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.
4/12
=
9/F
Hence, the maximum force F = 27 N
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