In simple harmonic motion, the restoring force must be:
Correct answer: B. Proportional to displacement and opposite in direction
- A. Constant and opposite in direction to displacement
- B. Proportional to displacement and opposite in direction
- C. Proportional to velocity
- D. Independent of displacement
Explanation
Definition of SHM: F = -kxForce increases as displacement increases. Force always points toward the mean position. Without this condition, motion cannot remain sinusoidal. Thus SHM exists only when restoring force ∝ displacement.
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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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