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A particle of mass 4 kg is excuting S.H....

A particle of mass 4 kg is excuting S.H.M. Its displacement is given by the equation y=8 `cos[100t +pi//4] cm`. Its maximum kinetic energy is,

A

128 j

B

64 j

C

16 j

D

32 j

Text Solution

Verified by Experts

Equation of particle executing SMH
`y=8cos[100t+(pi)/(4)]cm`
`"Here" " " omega=100rad//s,a=8cm`
Maximum Kinetic energy = `(1)/(2)momega^(2)a^(2)`
`=(1)/(2)xx4xx100xx100xx(8xx10^(-2))^(2)`
=128 j
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