Question

A simple pendulum is suspended from the ceiling of a stationary elevator, and the period is determined.(i) When the elevator accelerates upward, is the period (a) greater(b) smaller(c) unchanged?

Answer 1

The correct option is (a) greater.

What is simple pendulum?

A weight hanging from a pivot such that it may freely swing is called a pendulum. Gravity's restoring force will cause a pendulum to accelerate back toward its equilibrium position if it is sideways moved from its resting, equilibrium position.

The effective acceleration of the pendulum is equal to the sum of the acceleration caused by gravity and the elevator's upward acceleration while the elevator is moving upward.

T=2π√L/g(eff)

T=2π√L/(g+a)

Therefore, effective acceleration increases, and which results in a decrease in the period of motion.

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