Harmonic motion is a type of periodic motion in which a system moves back and forth around a stable equilibrium position due to a restoring force that is directly proportional to the displacement from the equilibrium position.
The equation for finding velocity in harmonic motion is v = Aωcos(ωt+φ), where v is the velocity, A is the amplitude, ω is the angular frequency, t is the time, and φ is the phase angle.
In harmonic motion, the amplitude and velocity are directly proportional. This means that as the amplitude increases, the velocity also increases, and vice versa.
The main difference between simple harmonic motion and damped harmonic motion is the presence of a damping force. In simple harmonic motion, there is no damping force, resulting in a constant amplitude and frequency. In damped harmonic motion, there is a damping force that causes the amplitude and frequency to decrease over time.
To graph velocity in harmonic motion, plot the velocity as a function of time. The resulting graph should be a sinusoidal curve with an amplitude and frequency determined by the given values for the system.