Energy in Simple Harmonic Motion Video Lessons

Concept

# Problem: At what displacement of a SHO is the energy half kinetic and half potential?Express your answer in terms of amplitude A.

###### FREE Expert Solution

Total mechanical energy:

$\overline{)\begin{array}{rcl}{\mathbf{E}}& {\mathbf{=}}& \mathbf{P}\mathbf{.}\mathbf{E}\mathbf{+}\mathbf{K}\mathbf{.}\mathbf{E}\\ {\mathbf{E}}& {\mathbf{=}}& \frac{\mathbf{1}}{\mathbf{2}}\mathbf{k}{\mathbf{x}}^{\mathbf{2}}\mathbf{+}\frac{\mathbf{1}}{\mathbf{2}}\mathbf{m}{\mathbf{v}}^{\mathbf{2}}\end{array}}$

Displacement at extreme ends is the same as amplitude, A.

###### Problem Details

At what displacement of a SHO is the energy half kinetic and half potential?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Energy in Simple Harmonic Motion concept. You can view video lessons to learn Energy in Simple Harmonic Motion. Or if you need more Energy in Simple Harmonic Motion practice, you can also practice Energy in Simple Harmonic Motion practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Picione's class at DAYTONA STATE.