L2- Energy in SHM

What is the formula for potential energy in SHM?

k =the spring constant

x = the displacement from equilibrium.

How is potential energy expressed in SHM using x=Acos⁡(ωt+δ)?

What is the kinetic energy in SHM?

What is the velocity of an object undergoing SHM?

• A is the amplitude

• ω is the angular frequency

• ϕ is the phase constant.

How is kinetic energy expressed in SHM using v_x=−ωAsin⁡(ωt+δ)?

What is the total mechanical energy in SHM?

The total mechanical energy is constant

What happens to potential and kinetic energy at maximum displacement?

What happens to potential and kinetic energy at equilibrium?

What is the sum of potential and kinetic energy at any point in SHM?

The sum of U and K is always equal to the total energy

What is the average value of potential and kinetic energy over one cycle?

The average values of potential and kinetic energy are equal over one or more cycles

How does the energy graph of SHM appear?

• The potential energy graph (U) is a parabola as a function of x.

• The total energy (E) is a horizontal line at 1/2kA²

• The motion is restricted to −A≤x≤A