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Question

Block A of mass m placed on a smooth inclined plane is connected by a string to another block B of mass M as shown in the figure. If the system is in equilibrium , express M in terms of m

A
msinθ
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B
mcosθ
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C
2msinθ
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D
2mcosθ
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Solution

The correct option is A msinθ
For equilibrium of the block A, net force on it must be zero
N; Normal reaction from slope

fx=0T=mg sinθ....(i)
fy=0N=mg cosθ

For equilibrium of block B the net force on it must be zero.
Fy=0T=Mg....(ii)

From equation (i) and (ii) , we have M=msinθ

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