The equation of simple harmonic motion may no | vedclass

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Question

(D) The correct answer is $(D)$.Simple Harmonic Motion $(S.H.M.)$ is defined by a single frequency component. Options $(A)$,$(B)$,and $(C)$ represent

Vedclass · Accepted Answer

$x = A \sin(\omega t + \phi) + B \sin(2\omega t + \phi)$

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(D) The correct answer is $(D)$.Simple Harmonic Motion $(S.H.M.)$ is defined by a single frequency component. Options $(A)$,$(B)$,and $(C)$ represent standard forms of $S.H.M.$ with a single angular frequency $\omega$.Option $(D)$ represents the superposition of two $S.H.M.$s with different frequencies ($\omega$ and $2\omega$). Since the resulting motion involves multiple frequencies,it is not a simple harmonic motion,but rather a complex periodic motion.

The equation of simple harmonic motion may not be expressed as (each term has its usual meaning):

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