The time period of a simple pendulum suspended from the ceiling of a lift is T. A block is also suspended by a spring from the ceiling of the lift and the block is oscillating vertically with time period T. Now the lift starts moving upward with constant acceleration ‘a’. If the new time period of the simple pendulum and spring – block be TP and TS respectively, then

Question

The time period of a simple pendulum suspended from the ceiling of a lift is T. A block is also suspended by a spring from the ceiling of the lift and the block is oscillating vertically with time period T. Now the lift starts moving upward with constant acceleration ‘a’. If the new time period of the simple pendulum and spring – block be TP and TS respectively, then

Infinity Learn · Accepted Answer

$$T=2$$$$π$$lg  $$=$$  $$2$$$$π$$mkTime period of spring – mass system does not depend upon the frame of reference.∴    $$Ts=2$$$$π$$mk  $$=$$  TBut  ∴    $$TP=2$$$$π$$$$lg+a$$  <  T∴    TP<    TS

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