The angular velocity and amplitude of simple pendulum are `omega` and r respectively. At a displacement x from the mean position, if its kinetice energy is T and potential energy is U, find the ration of T to U.

Explanation

Kinetice energy,
`T=(1)/(2)mU^(2)=(1)/(2)momega^(2)(r^(2)-x^(2)),`
Potential energy, `U=(1)/(2)momega^(2)x^(2),`
so `(T)/(U)=(r^(2)-x^(2))/(x^(2))`