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 :

Question

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 :, 2 π L g cos α, 2 π L g sin α, 2 π L g, 2 π L g tan α

MARKS App · 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, T = 2 π L g e f f = 2 π L g cos α .

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