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## Homework Statement

A pendulum is mounted on a vertical, rotating

shaft by means of a hinge. The shaft is free

to rotate in its bearings. Use conservation laws to

eliminate one degree of freedom and simulate the

motion of the other one. Analyse and comment

using mechanical terms.

https://www.physicsforums.com/attachment.php?attachmentid=18687&d=1241008388

## The Attempt at a Solution

I started out with the Energy principle: E = constant = Kinetic + Potential

U = Potential------I = Moment of inertia

K= Kinectic------w = angular velocity

m = mass------v = velocity

L = Length------ θ = Angle

K = ½(*I*w

^{2}+*m*v

^{2})

U = -½*m*g*L*cos θ

And i have no idea what to do next, i think i perhaps should derive the energy expression, but i dont know what to derive on, time,angle?

Thank you!