Introduction To Simple Harmonic Motion
Concepts to remember on Introduction to Simple Harmonic Motion for JEE and CBSE board exams:
 SHM: Periodic motion where restoring force is ∝ ve displacement from mean position.

Displacement of particle executing SHM: $$x = A \cos(\omega t + \phi).$$

Velocity of particle executing SHM: $$v = A\omega \sin(\omega t + \phi).$$

Acceleration of particle executing SHM: $$a = A\omega^2\cos(\omega t + \phi).$$

Time period of SHM: $$T = 2\pi/\omega.$$

Frequency of SHM: $$f=\omega/2\pi.$$

Amplitude of SHM: Maximum displacement from the mean position.

Phase angle of SHM: Angle between the initial position of particle and the positive direction of the displacement axis at time t= 0.

Energy of a particle executing SHM: $$E = \frac{1}{2}kA^2$$

Potential energy of a particle executing SHM: $$U=\frac{1}{2}kx^2.$$

Kinetic energy of a particle executing SHM: $$K = EU = \frac{1}{2}kA^2(1\cos^2\omega t).$$