L2- Energy in SHM
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15 Terms
What is the formula for potential energy in SHM as a function of displacement?
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 as a function of velocity?
How is kinetic energy expressed in SHM using vx=−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
What characterizes a stable equilibrium in terms of potential energy?
A stable equilibrium occurs at the minimum of the potential energy curve.
What characterizes an unstable equilibrium in terms of potential energy?
An unstable equilibrium occurs at the maximum of the potential energy curve.
What is the general equation for a potential energy curve approximated by a parabola?
U0 =the potential energy at the equilibrium position
k is a constant.
How is the force related to the potential energy curve?
The force is the negative derivative of the potential energy
What is the force near equilibrium for a parabolic potential energy curve?
