A simple pendulum is oscillating in a lift. If the lift starts moving upwards with uniform acceleration, the period will:
Correct answer: C. Be longer
- A. Remain unaffected
- B. Be shorte
- C. Be longer
- D. May be shorter or longer, depending on the magnitude of acceleration
Explanation
Then the lift starts moving upwards with uniform acceleration, the effective acceleration experienced by the simple pendulum changes. As a result, the period of the pendulum increases. This is because the effective acceleration due to gravity increases with the lift's upward acceleration, which lengthens the period of the pendulum.
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About Simple Harmonic Motion
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
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