Acceleration in the simple pendulum is always _ to displacement.
Correct answer: B. Directly proportional
- A. Inversely proportional
- B. Directly proportional
- C. Acting positive
- D. Independent
Explanation
Option B is correct because in a simple pendulum, the acceleration is directly proportional to the displacement from the equilibrium position. According to Hooke's law, the restoring force (and hence acceleration) is directly proportional to the displacement. This relationship holds as long as the angles are small, and the pendulum follows simple harmonic motion.
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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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