A body is executing simple harmonic motion if:
Correct answer: A. Its acceleration is directly proportional to displacement and directed towards the mean position
- A. Its acceleration is directly proportional to displacement and directed towards the mean position
- B. Its acceleration is inversely proportional to displacement and directed away from the mean position
- C. Its acceleration is inversely proportional to displacement and directed towards the mean position
- D. Its acceleration is directly proportional to displacement and directed away from the mean position
Explanation
In simple harmonic motion (SHM), a body moves in such a way that its acceleration is directly proportional to its displacement from a fixed point (the mean position) and is always directed towards that point. This results in an oscillatory motion characteristic of SHM, such as in a spring-mass system or a pendulum. Therefore, Option A is correct because it accurately describes this relationship and directionality.Option B is incorrect because the acceleration is not inversely proportional, nor is it directed away from the mean position. Option C is incorrect because, although it mentions the correct direction towards the mean position, it incorrectly describes the relationship as inversely proportional. Option D is incorrect because although it correctly states the direct proportionality, it wrongly claims the direction is away from the mean position.
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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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