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A body of mass 1kg is executing simple h...

A body of mass 1kg is executing simple harmonic motion. Its displacement y(cm) at t seconds 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
Given , a `6cm=6xx10^(-2)m`
`omega=100"rad"//s,m=1kg`
`K_("max")=(1)/(2)momega^(2)a^(2)`
`=(1)/(2)xx1xx(100)^(2)xx(6xx10^(-2))^(2)`
`=18J`
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