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Question

Three blocks are placed at rest on a smooth inclined plane with force acting on m1 parallel to the inclined plane. Find the contact force between m2 and m3.
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A
(m1+m2+m3)Fm3
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B
m3Fm1+m2+m3
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C
F(m1+m2)g
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D
None of the above
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Solution

The correct option is B m3Fm1+m2+m3
Acceleration, a=Fm1+m2+m3
Forces acting on the combination of m1 and m2
FT=(m1+m2)a
T=F(m1+m2)a
T=F(m1+m2)(Fm1+m2+m3)
T=F(m1+m2+m3m1m2m1+m2+m3)
T=m3Fm1+m2+m3

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