Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement of the object from its equilibrium position. Harmonic motion, on the other hand, is a general term used to describe any type of periodic motion with a sinusoidal pattern.
The period of simple harmonic motion can be calculated using the equation T = 2π√(m/k), where T is the period, m is the mass of the object, and k is the spring constant. This equation assumes that the amplitude of the motion is small.
No, simple harmonic motion requires a restoring force to exist. Without a restoring force, the motion of an object will not be periodic and will not follow a sinusoidal pattern.
A common example of simple harmonic motion is the motion of a mass attached to a spring. As the mass oscillates back and forth, it follows a sinusoidal pattern and the restoring force is directly proportional to the displacement from the equilibrium position.
Damping is the process of reducing the amplitude of a vibrating object over time. In simple harmonic motion, damping can occur due to external forces such as air resistance or internal factors like friction. Damping will decrease the amplitude of the motion and can also change the period of the oscillation.