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Question

In Fig. Block m2 is located on block m1. If there is no relative sliding between the blocks and the plane is smooth, find the friction force between the blocks.
982859_f0fc94e0e3534b70a4600ba915f854a5.png

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Solution

Assuming no friction between the surfaces, acceleration of block (1), a1=m1gsinθm1=gsinθ
and acceleration of block (2),
a2=m2gsinθm2=gsinθ
Value of |¯¯¯¯¯a1¯¯¯¯¯a2|=|gsinθgsinθ|=0
Here we can say there is no tendency of relative sliding. Hence, no friction is present between (1) and (2).

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