Cylinder rolling on fixed cylinder

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The problem involves a cylinder (C1) rolling on top of another fixed cylinder (C2). The original poster seeks to determine the angular velocity of C1 at the moment it loses contact with C2, with the initial condition that C1 starts from rest.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the need for the original poster to provide a more structured post and some initial attempts at solving the problem. There are suggestions to draw a diagram and to consider the Lagrangian mechanics approach. Some participants also mention the concept of centripetal force in relation to the problem.

Discussion Status

The discussion is ongoing, with participants encouraging the original poster to repost in the correct section and to show some effort. There is a mix of guidance offered regarding the use of Lagrangian mechanics and the importance of centripetal force in understanding the conditions for losing contact.

Contextual Notes

There is a mention of an impending test, which adds urgency to the original poster's request for assistance. The original poster's lack of initial effort and the need for a proper format are noted as constraints in the discussion.

Snehit
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HOMEWORK POSTED IN WRONG FORUM. WE AWAIT SOME EFFORT ON THE PART OF OP BEFORE CONTINUING.

A cylinder C1 of mass M1 and radius R1 is placed on top of another cylinder C2 of mass M2 and radius R2. C2 is kept rigidly fixed (so that it can neither translate nor rotate). C1 starts rolling without slipping on the surface of C2 (assume that the initial velocity of C1 is zero). Determine the angular velocity of C1 when it loses contact with C2.Please answer this fast. Need it for a test tomorrow. Thanks a lot!
 
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Please repost this problem in the homework section using the template provided and show us at least some attempt at finding the solution yourself .

Just drawing a diagram would be a good place to start .
 
Snehit said:
Please answer this fast. Need it for a test tomorrow.
Hello Snehit, :welcome:

Before a mentor locks the thread (and becasue I do feel sorry for you and I'm such a nice guy :smile: ) : your test is about Lagrangian mechanics ? So (in the PF spirit - for which you have no time through no fault of us) the least you can do is post your Lagrangian and what the Lagrange equations yield from that
 
And if you are in a hurry and need a short cut: if the trajectory has to be a circle, a centripetal force is needed. When that force isn't present (not enough of it), it loses contact. Much easier ...

nice exercise ! Kudos for the composer.
 

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