A particle moves on x-axis according to the equation x = x 0 sin 2 ⁡ ω t , the motion is simple harmonic

Question

A particle moves on x-axis according to the equation x = x 0 sin 2 ⁡ ω t , the motion is simple harmonic, with amplitude x 0, with amplitude 2 x 0, with time period 2 π ω, with time period π ω

MARKS App · Accepted Answer

x = x 0 sin 2 ⁡ ω t = x 0 2 1 - cos ⁡ 2 ω t = x 0 2 - x 0 2 cos ⁡ 2 ω t Frequency ω ′ = 2 ω ⇒ 2 π T ′ = 2 ω ⇒ T ′ = π ω Amplitude = x 0 2

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