The total energy of a body executing S.H.M is directly proportional to________________?
Correct answer: D. Square of an amplitude
- A. The square root of amplitude
- B. The amplitude
- C. Reciprocal of amplitude
- D. Square of an amplitude
Explanation
The total energy of SHM is E = 1/2 kA², where A is the amplitude and k is the force constant. With k fixed, E is directly proportional to A², the square of the amplitude. A likely mistake is choosing b by forgetting the square in the energy expression.
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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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