Cylinder rolling on fixed cylinder

[Snehit]

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!

 

[Nidum]

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 .

 

[BvU]

Please answer this fast. Need it for a test tomorrow.

Hello Snehit,

Before a mentor locks the thread (and becasue I do feel sorry for you and I'm such a nice guy ) : 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

 

[BvU]

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.