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Starting from the origin a body osillate...

Starting from the origin a body osillates simple harmonicall with a period of 2 s. A fter what time will its kinetic energy be 75% of the total energy?

A

`1/4s`

B

`1/3s`

C

`(1)/(12)s`

D

`1/6s`

Text Solution

Verified by Experts

The correct Answer is:
D
`K=3/4E`
`1/2momega^2(A^2-x^2)=3/4*1/2momega^2A^2impliesx=+-A/2`
`x=Asin((2pi)/(T))timpliesA/2sin((2pi)/(2))t=Asinpit`
`sin pi t=1//2=sinpi//6impliest=1//6s`
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