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Represent KE and PE of a particle execut...

Represent KE and PE of a particle executing SHM graphically.

Text Solution

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`K(t)-K.E.` of particle.

`U(t)=P.E.` of a particle
`T.E. =K(t)+U(t)=(1)/(2)kA^(2)`
where `A-" amplitude, k"=m omega^(2), m-" mass of the particle."`
`omega=` angular frequency `=(2pi)/(T)`
T = period of SHM.
Note : `T.E.=P.E.+K.E=(1)/(2)m omega^(2)A^(2)cos^(2)(omegat+phi)+(1)/(2)m omega^(2)A^(2)sin^(2)(omegat+phi)=(1)/(2)m omega^(2)A^(2)`.
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