Physics Course/Periodic Motion

Periodic Motion
Periodic motion refers to any motion moving at a distance above and below the equilibrium position and this motion keeps repeat itself over a period of time. This type of motion is also called /Oscillation/.

Examples

 * 1) The moving up and down of a spring
 * 2) The swinging side by side of a pendulum

The moving up and down of a spring
When apply a force on an object of mass m attach to a spring, the spring will move a distance y above and below the equilibrium point

The force acts on the object is
 * F = m a

The Restoring Force of spring is given by Hook's law as
 * Fs = - k y

When The Net Force on the system is 0 then there is no movement
 * F - Fs = 0
 * m a = - k y
 * y = $$\frac{m a}{k}$$
 * a = - $$\frac{k}{m} y$$
 * v t = $$\frac{k}{m} y$$
 * $$t = \frac{k}{m} \frac{y}{v}$$