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The potential of particle executing S.H.M. at a displacement `X`is

The potential of particle executing S.H.M. at a displacement `X`is

Grade:12th pass

1 Answers

deepak
84 Points
7 years ago
let the governing force eqn be,
F=−kx
 
we know,
P.E. = \int \underset{f}{\rightarrow}.\underset{dx}{\rightarrow}
 
P.E.=\int_{0}^{x} -kx*dx*cos(180)
 
                      the angle between f and dx is 180 as they both are collinear but act in the oppsite directions
now on intergration,
P.E.= ½kx2
 
 
 
hence proved hope this seems to be useful

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