Simple-Pendulum

2 kg mass hanging from a massless string of 2m length swinging from a central pivot point. The mass is pulled out at 30 degrees angle and released for 1 period.

Motion of a simple pendulum represented by differential equation.

$http://latex.codecogs.com/svg.latex?\frac{d^2\theta}{dt^2} +\frac{g}{l} \sin(\theta) = 0$

Angular momentum of the motion given by

$http://latex.codecogs.com/svg.latex?\omega = \sqrt{\frac{g}{l}}$

Solution of the differential equation for small angles given by

$http://latex.codecogs.com/svg.latex?\theta(t) = \theta_{max}\cos(\omega t)$

x and y positions of the mass defined as

$http://latex.codecogs.com/svg.latex?x(t) = L\sin(\theta(t))$

$http://latex.codecogs.com/svg.latex?y(t) = L\cos(\theta(t))$

Change in kinetic energy and potential energy with respect to time

pendulum

Licence

Released under licence: the GPL version 3 license.

Using without reference is, among other things, against the current license agreement (GPL).

Scientific or technical publications resulting from projects using this code are required to citate.