Chapter 42 of 2363 min read

Simple harmonic motion: equations, energy

Why this is asked: Total energy in SHM is constant and proportional to amplitude squared, but keeps trading between KE (maximum at the mean position) and PE (maximum at the extremes) — and acceleration itself is never constant, since a = −ω²x.

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Test yourself

•If $x = 5 sin (π t + \frac{π}{3})$ m represents the motion of a particle executing simple harmonic motion, the amplitude and time period of the motion, respectively, are:

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