Displacement and Potential Energy of an Oscillator

Displacement and Potential Energy of an Oscillator#

Question Text#

A simple harmonic oscillator has a displacement as a function of time given by \(x(t) = A\cos(\frac{2\pi t}{T})\). When one-eighth of the oscillator’s energy is potential energy, what is its displacement from equilibrium?

Note that it may not be necessary to use every variable. Use the following table as a reference for each variable:

For

Use

\(A\)

A

\(T\)

T

Answer Section#

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.