Simple Harmonic Motion Simulator

❌

Simple Harmonic Motion (SHM)

Simple Harmonic Motion (SHM) is a type of oscillatory motion where the restoring force is directly proportional to the displacement from the equilibrium position. A classic example is a mass attached to a spring.

1. Restoring Force

The spring exerts a restoring force described by Hooke's Law: F = -kx

• F is the force exerted by the spring,
• k is the spring constant,
• x is the displacement from equilibrium.

2. Equations of Motion

SHM follows: a = -(k/m)x → x(t) = A cos(ωt + φ) where ω = √(k/m)

3. Energy in SHM

• Kinetic Energy: ½ mv²
• Potential Energy: ½ kx²
• Total Energy: remains constant in ideal (undamped) system