Question #137114

Draw a labelled diagram of the
potential energy function for a simple
harmonic oscillator.

Expert's answer

Explanation


  • If the maximum amplitude of the motion is A (m) & the spring constant is k, then the maximum potential energy is at there which is 12kA2\small \frac{1}{2}kA^2 .
  • PE=12kA2y=ax2\qquad\qquad \begin{aligned} \small PE &= \small \frac{1}{2}kA^2 \to y=ax^2 \end{aligned}
  • A parabolic shaped graph is the result.
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