The force responsible for the vibratory motion of the simple pendulum is_________________?
Correct answer: B. mg sinθ
- A. mg cosθ
- B. mg sinθ
- C. mg tonθ
- D. mg
Explanation
For a pendulum at angle θ, the tangential component of its weight is F = mg sin θ, directed toward the mean position, and this component supplies the restoring force. The radial component mg cos θ mainly affects the tension. A student may choose a by selecting the component involving cosine, but cosine gives the radial rather than tangential component.
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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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