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A body of mass 1 kg is executing harmon...

A body of mass 1 kg is executing harmonic motion . Its displacement y cm at t sec is given by
`y=6 sin (100t+pi/4)` its maximum kinetic energy is,

A

6 j

B

18 j

C

24 j

D

36 j

Text Solution

Verified by Experts

The correct Answer is:
b
Comparing with equation `y=sin(omegat+phi)`
`a=6,omega=100rad s-1,phi=pi//4`
`(KE)=1/2momega^2A^2`
`=1/2xx(1)xx(100)^2xx(6xx10^-2)^2`
`1/2xx10^4xx36xx1-10^-4`
18 j.
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