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Draw a graph to show the the variation o...

Draw a graph to show the the variation of P.E., K.E. and total eneryg of a simple harmonic oscillator with displacement .

Text Solution

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If y is the displacement of a particle executing S.H.M. having amplitude A and angular velocity `omega`, then
`K.E. = (1)/(2)momega^(2)(A^(2) -y^(2))`
P.E. ` = (1)/(2)momega^(2)y`
`E_(T) = (1)/(2)momega^(2)A`
The variation of P.E., K.E., and total energy is shown in the graph in the adjoining figure.
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