Derive an expression for the kinetic energy of an ideal mass–spring oscillator in…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Oscillations · Oscillations

Problem

Derive an expression for the kinetic energy

K

of an ideal mass–spring oscillator in terms of its displacement

x

and amplitude

A

, then show algebraically that the kinetic energy equals the potential energy when

x = \dfrac{A}{\sqrt{2}}