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 half 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.