1.

Which of the following functions represent SHM : sin 2 omega t

Answer»

SOLUTION :A motion will be SHM if ACCELERATION is directely proportional to its displacement
`a=- omega^(2)y`
As `y= SIN 2 omega`
`rArr v=(dy)/(dt)=2 omega COS 2 omega= omega t`
Acceleration `=(d^(2)y)/(dt^(2))=- 4 omega^(2) sin 2 omega t`
`=- 4omega^(2)y`
So `, y= sin 2 omega t` represent SHM.


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