JEE Main202229 Jul 2022Morning ShiftPhysicsOscillationsActual
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 :
Options
- A2 π L g cos α
- B2 π L g sin α
- C2 π L g
- D2 π L g tan α
Correct answer
A. 2 π L g cos α
Step-by-step solution
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 .