Velocity and Acceleration in SHM: In Simple Harmonic Motion, the velocity and acceleration of the object oscillate with the same frequency as the displacement, but with a phase difference of 90 degrees. SHM (Simple Harmonic Motion) is a type of periodic motion where the displacement of an object from its equilibrium position is proportional to the force acting on it and is directed towards the equilibrium position. In SHM, the object moves back and forth along a straight line with a constant frequency.

Velocity and Acceleration in SHM

Velocity in SHM

The velocity of an object undergoing SHM changes as it moves back and forth along the path of motion. At the equilibrium position, the velocity is maximum and is zero at the extreme positions. The velocity of an object in SHM can be expressed as:

v = ± Aωcos(ωt + Φ)

where v is the velocity of the object, A is the amplitude of the motion, ω is the angular frequency, t is the time, and Φ is the phase angle.

Acceleration in SHM

The acceleration of an object undergoing SHM is directed towards the equilibrium position and is proportional to the displacement from the equilibrium position. The acceleration of an object in SHM can be expressed as:

a = -Aω^2sin(ωt + Φ)

where a is the acceleration of the object, A is the amplitude of the motion, ω is the angular frequency, t is the time, and Φ is the phase angle.

Follow on Facebook

By Team Learning Mantras