Simple Harmonic Motion (SHM) is a periodic vibration or oscillation with
the following characteristics:
To summarize, this net force or restoring force depends on the displacement from the equilibrium position and is always directed toward the equilibrium position. The weight has its maximum acceleration at the amplitude (where it is changing direction) and a zero velocity. As the weight passes through the equilibrium position, it has a zero acceleration, a zero restoring force, and its maximum velocity.
The period (T) is the time required for one complete vibration and the frequency (f) is the number of complete vibrations which occur in one second. The amplitude (A) is the maximum displacement from the equilibrium position. A more detailed explanation of the remaining symbols can be found by clicking on the Directions button.
There is no need to enter units with the input values. The Units option box determines the necessary units and the value for g. When the amplitude (A) is assigned a value and the displacement (x) equals zero, the values v, a, Fr, KE, and PE are maximum values. If both the amplitude and displacement are assigned values, the values v, a, Fr, KE, and PE correspond to the displacement. If you are solving for g, you must indicate this by entering a "-1" for the value of g.
When entering a value, you may use an expression. For example, if the amplitude is 5 inches, you may enter 5/12 and the value will be converted to feet.