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Question

The displacement of a particle is represented by the equation y=sin3ωt. The motion is

A
non-periodic
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B
periodic but not simple harmonic
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C
simple harmonic with period 2π/ω
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D
simple harmonic with period π/ω
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Solution

The correct option is B periodic but not simple harmonic
Given, y=sin3ωt=14[3sinωtsin3ωt]
As this motion is not represented by simple harmonic function, hence it is not SHM. As this motion involves sine and cosine functions, hence it is periodic motion.

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