A simple pendulum is one which can be considered to be a point mass suspended from a string or rod of negligible mass. It is a resonant system with a single resonant frequency. For small amplitudes, the period of such a pendulum can be approximated by
[tex]T = 2\pi \sqrt{\frac{L}{g} }[/tex]
where,
T = time period
L = length of the string
g = acceleration due to gravity
The motion of a simple pendulum is like simple harmonic motion in that the equation for the angular displacement is
[tex]\alpha = \alpha _m_a_x sin\sqrt{\frac{L}{g} }t[/tex]
