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

Compute the position of an oscillating particle when its kinetic energ

1.	Compute the position of an oscillating particle when its kinetic energy and potential energy are equal.
Answer» Solution :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))`