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Q.

Out of the following functions representing motion of a particle, which functions/function represent SHM? A. y=sin ωt-cos ωt               B. y=sin3 ωt C. y=5 cos3π4-3 ωt          D. y=1+ωt+ω2t2+ω3t3

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a

A and B

b

A and C

c

A only

d

A, B and C not D

answer is B.

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Detailed Solution

For a simple harmonic motion, a=d2ydt2∝(-y)So, only equations, y=sin ωt-cos ωtand            y=5 cos3π4-3 ωtare satisfying this condition. Thus, they represent SHM.
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