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Question

Two blocks m1 and m2 are resting on a rough inclined plane of inclination 37 as shown in figure. The contact force between the blocks is (m1=4 kg,m2=2 kg,μ1=0.8,μ2=0.5,g=10m/s2,sin37=35)

A
3.2 N
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B
3.6 N
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C
7.2 N
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D
Zero
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Solution

The correct option is D Zero
For a mass sliding down on a inclined plane , we know that
a = g sinθμg cosθ.
Hence acceleration depends on the coefficient of friction ,
As μ1>μ2 a1<a2. (directly from the equation we can say)
Hence the acceleration of m2 is greater than that of m1. Hence, there will not be any contact.
So, N = 0

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