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Out of the following functions represent...

Out of the following functions representing motion of a particle which represents SHM ?
I. `y = sin omega t - cos omega t` , II. `y = sin^(3) omega t`
III. `y =5 cos ((3pi)/(4)-3 omega t)` , IV. `y = 1+omega t +omega^(2)t^(2)`

A

A and B

B

A and C

C

A only

D

A, B and C not D

Text Solution

Verified by Experts

The correct Answer is:
B
(b) For a simple harmonic motion, `(d^()Y)/(dt^(2)) prop (-T)`
Equations , `Y="sin"omegat-"cos"omegat`
and `Y=5"cos"((3pi)/(4)-3omegat)`
are satisfying this condition.
Equations, `Y=1+omegat+omega^(2)t^(2)+omega^(3)t^(3)`
is not periodic and `Y="sin"^(3)omegat` is periodic but not SHM.
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