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

Explanation

Since the kinetic energy and potential energy of the oscillating particle are equal,
`1/2 m omega^2 (A^2 - x^2) = 1/2 m omega^2 x^2`
`implies A^2 - x^2 = x^2`
`implies 2x^2 " " = A^2 implies x = pm (A)/(sqrt2)`