A simple pendulum of length is suspended through the ceiling of an elevator. Find the time period of small oscillations if the elevator (a) is going up with an acceleration a0 (b) is going down with an acceleration a0 and (c) is moving with a uniform velocity.




(a) we know that time period

but when the system is accelerating the ‘g’ value should be replaced by net acceleration.

----- (1)

When car accelerates with acceleration , net acceleration on the bob will be

----- (2)

From eqn (1) & (2)