Question

Mention any two characteristics of S.H.M (Simple Harmonic Motion).

Answer 1

Hint:When a particle moves in a straight line to and fro about its equilibrium position in such a way that its force (or acceleration) is always directly proportional to its displacement and directed towards the equilibrium position, then the motion of the particle is called simple harmonic motion.

Complete Step by Step Answer:
The characteristics of the linear simple harmonic motion (S.H.M) of a particle are:
1. The restoring force (or acceleration) acting on the particle is always proportional to the displacement of the particle from the equilibrium position.
2. The force (or acceleration) is always directed towards the equilibrium position.

Additional information:
The velocity of the particle, exhibiting S.H.M, at the instant of passing through the mean position is maximum and is minimum at the extreme positions.
The acceleration of the particle is maximum at the extreme points and minimum at the equilibrium position.
The time period T of S.H.M is generally given by
\[T=\dfrac{2\pi }{\omega }\]
Where \[\omega \]denotes the angular velocity of the particle.

Note:Simple harmonic motion is not only periodic motion, but one in which displacement is a sinusoidal function of time.In S.H.M. velocity is ahead of displacement by phase angle of \[{\pi }/{2}\;\] and acceleration is ahead of velocity by \[{\pi }/{2}\;\]. Thus acceleration is ahead of displacement by phase angle of \[\pi \]. Vibrations of the prongs of a tuning fork, oscillations of a body suspended by a spring, oscillations of a body immersed in a liquid, and the oscillations of a simple pendulum are examples of simple harmonic motion.