Cylinder rolling on fixed cylinder

[Snehit]

Check Attached file for questionI am not able to get the equations for motion. Except that when cylinder loses contact, the normal force is zero.Please answer this fast. Need it for a test tomorrow. Thanks a lot!

 

[Snehit]

Ok, I tried the question for some time and came up with this differential equation,

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

 

[Dr.D]

What are a and b; they do not appear in the problem statement.

Did you get the kinematics correct? This is where most people get off track on a problem of this sort, so look very closely at that aspect.