simple harmonic motion (SHM)
A particle executes simple harmonic motion when it oscillating under the action of a restoring force directed towards the mean position. The magnitude of the restoring force is proportional to the displacement from the mean position.
where m is the mass of the body, x the displacement, and the constant k is called the force constant. The solution of the above equation is given by,
x = A cos(
w t + f ) (s5)where
w 2 = k/mand the constant A is the maximum displacement from the mean position. A is the maximum displacement from the mean position, and is called the amplitude. The constant
w , is the angular frequency of the oscillator,w
= 2p nwhere
n is the frequency of the oscillator.T =1/
nT is called the period of oscillation. The product of
w with time, t gives an angle called the phase angle. The angle f is the initial phase of the oscillator.