Physics Study Guide/Periodic Motion

From Wikibooks, open books for an open world
< Physics Study Guide
Jump to: navigation, search


Hooke's law[edit]


k is the spring constant and x is the displacement (the force is the restoring force)

For this equation to be approximately accurate, x needs to be below the spring's elastic limit. If x is more than the spring's elastic limit, the spring will exhibit "plastic behaviour" meaning that it will not return to its original position.

Potential energy[edit]

potential energy stored in a compressed recoiled spring

U= -\int\limits_{0}^{x_f} -k\vec{x}\cdot\vec{\mathrm{d}x} = \frac{1}{2} kx_f^2

T is the period, m is the mass, and k is the spring constant.

T=2 \pi \sqrt{{m \over k}}