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## Homework Statement

A uniform solid cylinder of mass `m' and radius `a' rolls on the rough outer surface of a fixed horizontal cylinder of radius `b'. Let `theta' be the angle between the plane containing the cylinder axes and the upward vertical (generalized coord.)

Deduce that the cylinder will leave the fixed cylinder at [tex]\theta=\cos^{-1}(4/7)[/tex]

## The Attempt at a Solution

I got,

[tex]\ddot{\theta} + \frac{2g}{3(a+b)} \sin(\theta) = 0[/tex]

I just don't know the best way to approach answering the last bit about when the cylinder leaves the fixed on it's rolling on.

Or how do I solve this ODE?

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