A body of mass 1 kg is executing simple harmonic motion. Its displacement y cm at t seconds is given by y = 6 sin 100 t + π 4 . Its maximum kinetic energy is

Question

A body of mass 1 kg is executing simple harmonic motion. Its displacement y cm at t seconds is given by y = 6 sin 100 t + π 4 . Its maximum kinetic energy is, 6 J, 18 J, 24 J, 36 J

MARKS App · Accepted Answer

Given, a = 6 cm = 6 × 10 - 2 m ω = 100 rad s - 1 , m = 1 kg K max = 1 2 m ω 2 a 2 = 1 2 × 1 × 100 2 × 6 × 10 - 2 2 = 18 J

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