A simple harmonic motion is represented by x t = sin 2 ⁡ ω t - 2 cos 2 ⁡ ω t . The angular frequency of oscillation is given by

Question

A simple harmonic motion is represented by x t = sin 2 ⁡ ω t - 2 cos 2 ⁡ ω t . The angular frequency of oscillation is given by, ω, 2 ω, 4 ω, ω 2

MARKS App · Accepted Answer

x = sin 2 ⁡ ω t - 2 cos 2 ⁡ ω t = 1 - 3 cos 2 ⁡ ω t = 1 - 3 1 + cos ⁡ 2 ω t 2 = - 1 2 - 3 2 cos ⁡ 2 ω t Which is a periodic function with angular frequency of 2 ω .

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