Rolling Cylinder with a Hole
Rolling Cylinder with a Hole
A cylinder of radius has a cylindrical hole of radius as shown in the figure. Vary the radius, density, and initial angular velocity to see the cylinder move in some interesting ways.
r
r/2
Since this is a one degree of freedom system, only one equation of motion is needed to fully locate it. This equation is: .
0=2ϱπθ'θ''3764-18cos(θ)+18ϱπsin(θ)+18ϱπgθsin(θ)
4
r
4
r
3
θ'
3
r