A body is executing simple harmonic motion if:
Correct answer: A. Its acceleration is directly proportional to displacement and directed towards mean position
- A. Its acceleration is directly proportional to displacement and directed towards mean position
- B. Its acceleration is inversely proportional to displacement and directed away from mean position
- C. Its acceleration is inversely proportional to displacement and directed towards mean position
- D. Its acceleration is directly proportional to displacement and directed away from mean position
Explanation
A body executes SHM if the acceleration produced is directly proportional to the displacement and directed toward the mean position. So option A is correct.All other options are incorrect because they do not satisfy the necessary conditions for 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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