 
 
 

The simple pendulum is a well known free oscillator. It consist of a
mass m in a gravitational field of
acceleration g, suspended from a
point O by a rigid wire of
length l. The mass oscillate in
the vertical plane. If theta(t) measures the angle
between the vertical line through O, then using Newton's 2ed law, a 2ed
order ordinary differential equation for theta can be written:
(1) This equation has the solution,where and 






 


