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Question

A bob of mass m=50 kg is suspended from the ceiling of a trolley by a light inextensible string. If the trolley accelerates horizontally, the string makes an angle 30o with the vertical. Find the acceleration of the trolley.

A
2g3
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B
g3
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C
g23
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D
g3
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Solution

The correct option is B g3
From frame of trolley
Tsinθ=ma
Tcosθ=mg
ag=sinθcosθ
a=gtanθ (θ=30o)
=g/3

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