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.