A body executes simple harmonic motion with an amplitude 'a'. Which of the following graphs represents the variation of velocity 'v' with displacement?
Correct answer: C. C
- A. A
- B. B
- C. C
- D. D
Explanation
The correct graph would be a sinusoidal curve that oscillates symmetrically around the x-axis. Among the given options, the correct graph would be option C) Sine curve with zero velocity at the extreme displacements. This graph represents a sinusoidal curve that crosses the x-axis (zero velocity) at the extreme displacements (±a). As the body moves towards the equilibrium position, the velocity increases, reaches its maximum at the equilibrium position, and then decreases as it moves towards the opposite extreme 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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