Question

In which condition a harmonic motion becomes a simple harmonic motion?

Answer 1

Hint: Simple harmonic motion (abbreviated SHM) is a form of periodic motion in mechanics and physics in which the restoring force on a moving item is directly proportional to the size of the object's displacement and operates towards the object's equilibrium position. It causes an oscillation that, if not interrupted by friction or other energy dissipation, can last eternally

Complete answer:
Simple harmonic motion may be used to simulate a number of movements, but it is best shown by the oscillation of a mass on a spring when it is subjected to Hooke's law's linear elastic restoring force. The motion has a single resonance frequency and is sinusoidal in time.

Other phenomena, such as the motion of a simple pendulum, may be described using basic harmonic motion, however the net force on the item at the end of the pendulum must be proportional to the displacement for it to be an accurate model. Molecular vibration can also be modelled using simple harmonic motion.

For a harmonic motion to be accounted for as a simple harmonic motion, the following requirements must be met:
-With no drag forces or friction, the restoring force must be proportional to the displacement and act in the opposite direction of motion.
-The amplitude should not affect the frequency of oscillation.
-Simple harmonic motion is the motion of a particle travelling down a straight line with an acceleration that is proportional to the distance from a fixed point on the line and whose magnitude is proportional to the distance from the fixed point.

Note: The time it takes to complete one oscillation in the absence of friction is known as the period (T). Its units are generally seconds, although they can be any useful time unit. The term "period" refers to the length of time for an event, whether it is repeated or not, but in this chapter, we will focus on periodic motion, which is repeating by definition. The frequency of an occurrence is a notion that is strongly connected to period. The number of events per unit time is defined as frequency (f). The number of oscillations per unit time is the frequency of periodic motion.