Lagrangian about rolling disk on a horizontal plane

Thread starter BREAD
Start date Mar 18, 2017
Tags

Disk Horizontal Lagrangian Plane Rolling

1 reply · 3K views · last reply Mar 18, 2017

BREAD

Thread starter
Mar 18, 2017

Homework Statement

Typeset solution to a rolling disk Lagrangian problem: L = T - V, T = (1/2)mv^2 = (1/2)m(rω)^2, V = 0, so L = (1/2)m(rω)^2, followed by Lagrange equation terms and the result d/dt(m(rω)) = Q.

Homework Equations

The Attempt at a Solution

This is the problem in Goldstein's classical mechanics exercise 1.11
I wonder why the solution doesn't consider rotational kinetic energy (1/2 I w^2)
So, L= T = 1/2mx^2 + 1/2 I w^2 .

Discussion

JoePhysics

Mar 18, 2017

This problem was discussed here.