The fuction sin2(ωt) represnts

Clearly sin2 ωt is a periodic as sin ωt is periodic with period π/ω for SHM ∝ - y = 2ω sin ωt cos ωt = ωsin 2ω2 cos 2ωt which is not proportionl to-y .Hence it is not in SHM.

SHMMedium

Question

The fuction sin²(ωt) represnts

Options

A.a periodic, but not simple harmonic motion with a period

B.a periodic, but not simple harmonic motion with a period

C.a simple harmonic motion with a period

D.a simple harmonic motion with a period

Solution

Clearly sin² ωt is a periodic as sin ωt is periodic with period π/ω
for SHM ∝ - y
= 2ω sin ωt cos ωt = ωsin
2ω² cos 2ωt which is not proportionl to-y .Hence it is not in SHM.

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