Simple Harmonic Motion

Simple Harmonic Motion

1. When the acceleration of the object is directly proportional to the displacement and the opposite direction to the displacement from the equilibrium.

   • a∝-x

2. Free Vibrations

   • No transfer of energy to and from the surroundings

3. Forced Vibrations

   • When there is a external driving force.

4. SHM Equations

   • v=2πfA
   • a=-(2πf)²x
   • Maximum displacement
     • x=A cos(2πft)
   • Equlibrium
     • x=A sin(2πft)

5. Resonance

   • When the driving frequency is equal to the natural frequency of the object
     • Damping
       • Deliberately reducing the amplitude of an oscillation over time

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