The time period of a simple pendulum depends on
Correct answer: B. its length and the acceleration due to gravity
- A. its mass and length
- B. its length and the acceleration due to gravity
- C. its amplitude, for all amplitudes
- D. the material of the bob
Explanation
The period is 2 pi times the square root of length divided by g, so it is independent of the mass entirely and of the amplitude provided the swing is small. Lengthening the pendulum four times doubles the period. This independence from mass is what makes the pendulum a reliable timekeeper and a good way to measure g.
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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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