Classical Dynamics of Particles and Systems · Problem 7-9

Central-Force Motion — Marion & Thornton

Physics — Mechanics · lagrangian-disk-pendulum

Problem

A disk of mass

M

and radius

R

rolls without slipping down a plane inclined from the horizontal by an angle

\alpha

. The disk has a short weightless axle of negligible radius. From this axis is suspended a simple pendulum of length

l < R

and whose bob has a mass

m

. Consider that the motion of the pendulum takes place in the plane of the disk, and find Lagrange's equations for the system.