- #1
Roboticist
- 8
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This may straddle more advanced physics, but I thought it leaned toward introductory.
I have been told to find the net energy of a damped pendulum.
Obviously the equation of energy for an undamped pendulum is just:
E = KE + PE = .5mv^2 + mgh = 0
I know the equation of angular motion for damped pendulum is:
ø'' - (g/L)sin(ø) - cø' = 0
As for the Energy Equation of damped pendulum..I'm not certain. I assume it must be along the lines of
E = .5mv^2 + mgh - ∫Fds.
where the damping force is some -cv, or cø'. But unlike a damped harmonic oscillator, we're dealing with two dimensions here and that keeps on confusing me.
As you can see it's a mess of different variable and I can't quite figure out how to structure a decent equation. To make matters more interesting, after I write the equation I have to take the derivative with respect to time.
All points in the right direction appreciated.
Homework Statement
I have been told to find the net energy of a damped pendulum.
Homework Equations
Obviously the equation of energy for an undamped pendulum is just:
E = KE + PE = .5mv^2 + mgh = 0
I know the equation of angular motion for damped pendulum is:
ø'' - (g/L)sin(ø) - cø' = 0
The Attempt at a Solution
As for the Energy Equation of damped pendulum..I'm not certain. I assume it must be along the lines of
E = .5mv^2 + mgh - ∫Fds.
where the damping force is some -cv, or cø'. But unlike a damped harmonic oscillator, we're dealing with two dimensions here and that keeps on confusing me.
As you can see it's a mess of different variable and I can't quite figure out how to structure a decent equation. To make matters more interesting, after I write the equation I have to take the derivative with respect to time.
All points in the right direction appreciated.