Linear Simple Harmonic Motion (S.H.M.)

For a particle performing linear S.H.M., its average speed over one oscillation is ______. (a = amplitude of S.H.M., n = frequency of oscillation)

What does the phase of π/2 indicate in linear S.H.M.? 

Define linear S.H.M.

A particle executes simple harmonic motion with amplitude 'A' and period 'T'. If it is halfway between mean position and extreme position, then its speed at that point is ______.

A particle is executing simple harmonic motion with amplitude A. When the ratio of its kinetic energy to the potential energy is `1/4`, its displacement from its mean position is ______.

Show that a linear S.H.M. is the projection of a U.C.M. along any of its diameter.

Two simple harmonic motions are represented by the equations y₁ = 0.1 sin `(100pi"t"+pi/3)` and y₁ = 0.1 cos πt.

The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is ______.

The displacement of a particle performing simple harmonic motion is `1/3` ^rd of its amplitude. What fraction of total energy will be its kinetic energy?