Energy in the Simple Harmonic Oscillator 01

What are the two main forms of energy in SHM?

Kinetic energy (K = ½mv²) and potential energy (U = ½kx²)

Write the total mechanical energy in SHM.

E=K+U=1/2​mv²+1/2​kx²

When is the energy all potential?

At the maximum displacement (x = ±A).

When is the energy all kinetic?

At the equilibrium position (x = 0).

What is the total mechanical energy in terms of amplitude?

E=1/2​kA²

Is total mechanical energy constant?

Yes, it is conserved in a frictionless system.

What is the velocity as a function of position in SHM?

v= ±ω sqrt(A²−x^2​)

What is the difference between total mechanical energy and total energy?

Total mechanical energy = kinetic + potential (in ideal systems).
Total energy = includes all forms (mechanical, heat, sound, etc.).