A body executed SHM of time period 6s. If its mass be 0.1kg, its velocity, 1s after it passes throuh mean position be `3ms^(-1)`, find its (i) KE (ii) PE and (iii) total energy.

Explanation

Here, `T=6s,m=0.1kg, t=1s,`
`v=3ms^(-1)`
`v=Aomegacosomegat=A(2pi)/(T)cos(2pi)/(T)t`
`3=Axx(2pi)/(6)cos((2pi)/(6)xx1)=Axx(2pi)/(6)xx(1)/(2)`
`A=(18)/(pi)m`
KE`=(1)/(2)mv^(2)=(1)/(2) xx0.1xx(3)^(2)=0*45J`
`TE=(1)/(2)momega^(2)A^(2)=(1)/(2)m(4pi^(2))/(T^(2))xx(18^(2))/(pi^(2))`
`=(1)/(2)xx0.1xx(4)/(6^(2))xx18^(2)=1*8J`
`PE=TE-KE=1.8-0.45=1.35J`