Cylinder rolling on fixed cylinder

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The discussion centers on deriving the equations of motion for a cylinder rolling on a fixed cylinder, with a focus on the condition when the normal force becomes zero. The user has formulated a differential equation but is unclear about the variables 'a' and 'b,' which are not defined in the problem statement. There is an emphasis on ensuring the kinematics are accurately understood, as this is a common area where mistakes occur. The urgency of the request is highlighted by the user's upcoming test. Clarifying the definitions of 'a' and 'b' is crucial for solving the problem effectively.
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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!
 

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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
 
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.
 

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