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Question

In the following diagram, pulley P1 is movable and pulley P2 is fixed. The value of angle θ in case of equilbrium will be

A
60
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B
30
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C
45
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D
15
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Solution

The correct option is B 30
Free body diagram of pulley P1 is shown in the figure
For horizontal equilibrium T1 cos θ=T2 cosθ T1=T2 and T1=T2=W

For vertical equilibrium
T1 sin θ+T2 sin θ=W Wsin θ+W sin θ=W
sin θ=12 or θ=30

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