In simple harmonic motion, acceleration is directly proportional to_________________?
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Answer: B. displacement
Explanation
Simple harmonic motion is mathematically defined by an acceleration proportional to negative displacement. The restoring force and resulting acceleration always point directly back toward the central mean position. This linear proportionality is the defining characteristic of standard undamped harmonic oscillation. Kinematic analysis of oscillating systems links displacement, velocity, and acceleration through calculus. The governing differential equation for harmonic motion features acceleration proportional to displacement magnitude. Mean position represents the point of zero displacement and maximum velocity for the moving body.
Pendulums and spring-mass systems exhibit simple harmonic motion in various mechanical engineering applications. Vibration analysis relies on this proportionality to model structural responses to dynamic loads. Accurate modeling of oscillatory systems prevents resonance damage in sensitive mechanical equipment. Option A is incorrect because acceleration is proportional to displacement, not velocity directly. Option C describes velocity change rather than the fundamental proportionality governing harmonic motion. Option D is wrong because only displacement satisfies the strict harmonic proportionality requirement.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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