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Compute the position of an oscillating p...

Compute the position of an oscillating particle when its kinetic energy and potential energy are equal.

Text Solution

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Since the kinetic energy and potential energy of the oscillating particle are equal,
`(1)/(2)momega^(2)(A^(2)-x^(2))=(1)/(2)momega^(2)x^(2)`
`implies A^(2)-x^(2)=x^(2)`
`implies 2x^(2)=A^(2)impliesxpm(A)/(sqrt(2))`
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