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In a simple harmonic motion, when the displacement is one-half the amplitude, what fraction of the total energy is kinetic?

1. 0
2. 1/4
3. 1/2
4. 3/4

Correct answer: 3/4

Solution

In SHM, total energy is constant and is the sum of kinetic and potential energy. When displacement is half the amplitude, potential energy is (1/4) of total energy, so kinetic energy is the remaining (3/4) of total energy.

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