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View Full Version : not sure how to use Conservation laws to solve this problem (Lagrangian mechanics)


James1991
Oct23-10, 11:21 AM
Nevermind I've done it now

diazona
Oct23-10, 01:19 PM
Try starting with part (a). If you're having trouble with it, post your work and let us know exactly what's confusing you.

James1991
Oct23-10, 01:24 PM
Try starting with part (a). If you're having trouble with it, post your work and let us know exactly what's confusing you.

I've been trying for a while now. I don't know how to relate \phi with the distance rolled down the plane. Could really use some help if you know anything that would help. Thanks

diazona
Oct23-10, 02:07 PM
If the cylinder rotates by an angle \phi, how much does the outer edge of the cylinder move?

James1991
Oct23-10, 03:11 PM
If the cylinder rotates by an angle \phi, how much does the outer edge of the cylinder move?

\phi = \phi(0) + w(0)*t +(1/2 alpha*time-squared)?

diazona
Oct23-10, 03:21 PM
No. I'm asking for a linear distance (something you would measure in meters).

James1991
Oct23-10, 03:25 PM
No. I'm asking for a linear distance (something you would measure in meters).

oh sorry, s = r\phi

diazona
Oct23-10, 04:12 PM
Yep, that's it. Now how does that distance s relate to the distance the cylinder rolled along the surface?