- #1
deezy
- 18
- 0
Homework Statement
The amplitude of simple harmonic oscillation is A = 10 cm. Find a displacement x when K = 1/6 U. Here K is a kinetic energy and U is a potential energy.
Homework Equations
[tex]KE = \frac{1}{2} k A^2[/tex]
[tex]U = \frac{1}{2} k x^2[/tex]
The Attempt at a Solution
I'm not sure the correct method of doing this problem but here is what I have attempted based on an example from my notes:
[tex]KE = \frac{1}{6} U[/tex]
[tex]\frac{1}{2} k A^2 = \frac{1}{6} \frac{1}{2} k x^2[/tex]
[tex]A^2 = \frac{1}{6} x^2[/tex]
[tex](0.1)^2 = \frac{1}{6} x^2[/tex]
[tex]x \approx 0.24 m[/tex]