The time period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle, which moves without friction down an inclined plane of inclination α , is given by :

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TestHub · Accepted Answer

Acceleration of vehicle down the incline will be

a = g \sin α

In the frame of the vehicle, we have to apply pseudo force. The Force diagram is shown in figure.
Component of

m g

along the inclined (i.e.

m g \sin α

) will balance the pseudo force. Therefore,

g_{e f f} = g cos α

Hence,

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