SHM Total Energy

E = \frac{1}{2} k A^{2} = \frac{1}{2} m ω^{2} A^{2}

Total mechanical energy in SHM is constant.

Variables

Total energy

Constant total energy

Spring constant

Spring stiffness

N/m

Amplitude

Maximum displacement

Mass

Oscillating mass

Angular frequency

ω = √(k/m)

rad/s

E = KE + PE = ½mv² + ½kx² = ½kA² (at max displacement).

0/5000