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Question

In the equations below, A, B, ω and ϕ are constants; y and t are variables; t represents time. Only one of the following equations does not represent SHM. Which one is that?y=Asinωty=Asinωt+Bcosωty=Bcosωty=Asinωt+Bcos(2ωt)

A
y=Asinωt+Bcosωt
B
y=Asinωt
C
y=Bcosωt
D
y=Asinωt+Bcos(2ωt)
Solution
Verified by Toppr

A linear combination of coherent simple harmonic motions would result in another simple harmonic motion.But the combination of two incoherent simple harmonic motions(Asinωt,Bcos(2ωt)) is NOT an SHM.Hence the answer is option D.

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