A simple pendulum having time period T is suspended from the ceiling of an elevator that is at rest position.When the elevator falls freely, then the time period of the pendulum will be
Correct answer: D. infinite
- A. T/2
- B. T
- C. 2T
- D. infinite
Explanation
When the elevator falls freely, it is in a state of free fall, meaning both the elevator and the pendulum are accelerating downwards at the same rate due to gravity. This results in a condition of apparent weightlessness within the elevator. In such a scenario, the tension in the pendulum's string provides no restoring force since the pendulum does not experience any gravitational force relative to the elevator. Therefore, the pendulum cannot oscillate, effectively making its time period infinite.Option A (\( \frac{T}{2} \)) is incorrect because the time period does not decrease. Option B (T) is incorrect because it assumes normal conditions, not free fall. Option C (2T) is incorrect because the time period does not double.
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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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