Fall 2006 2 Mech
Fall 2006
Fall 2006 1 Mech
Fall 2006 2 Mech
Fall 2006 3 EM
Fall 2006 4 EM
Fall 2006 5 QM
Fall 2006 6 QM
Fall 2006 7 SM
Fall 2006 8 SM
Fall 2006 9 Math
Fall 2006 10 Misc
Fall 2006 11 Mech
Fall 2006 12 Mech
Fall 2006 13 EM
Fall 2006 14 EM
Fall 2006 15 QM
Fall 2006 16 QM
Fall 2006 17 SM
Fall 2006 18 SM
Fall 2006 19 Math
Fall 2006 20 Math
A bead of mass m is constrained to move along a rigid, frictionless wire attached to a rotating disk at an angle $\theta \le \frac{\pi}{2}$ to the plane of the disk, and at a radius R from the origin. The wire rotates with the disk with angular velocity $\omega$. At the origin of the disk is a mass M with exerts a gravitational force on m. Ignore the gravitational force of the Earth.
(a) If x is the position of the bead along the wire, write down the Lagrangian function for the bead.
(b) Derive the equation of motion for the bead using Lagrange's equation.
***
Answer
***
Post preview:
Close preview