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Question

The pendulum hanging from the ceiling of a railway carriage makes an angle 30 with the vertical when it is accelerating. The acceleration of the carriage is 


A
32g m/s2
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B
23g m/s2
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C
g3 m/s2
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D
g3 m/s2
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Solution

The correct option is C g3 m/s2
In ground frame, let acceleration of carriage is a m/s2.
Pendulum will also have acceleration a m/s2.

T cosθ=mg
T sinθ=ma
From these two equations we get,
a = g tanθ=g tan30=g3 m/s2

Physics

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