
Let us consider a particle executing Simple Harmonic Motion between A and A1 about passing through the mean position (or) equilibrium position (O). Its analysis is as follows
SHM about Position O

Displacement | x = -A | x = 0 | x = +A |
Acceleration | |a| = Max | a = 0 | |a| = max |
Speed | |v| = 0 | |v| = Max | |v| = 0 |
Kinetic energy | KE = 0 | KE = Max | KE = 0 |
Potential energy | PE = Max | PE = Min | PE = Max |
Equation of Position of a Particle as a Function of Time

Let us consider a particle, which is executing SHM at time t = 0, the particle is at a distance from the equilibrium position.
Necessary conditions for Simple Harmonic Motion



