This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: matrix for this system. (b) Find the angular momentum vector for this system. 4. A thin rod of mass m and length l is balancing vertically on a smooth horizontal ﬂoor. It is disturbed slightly and falls. (a) Given that the rod is a rigid body (6 degrees of freedom) explain why there is only one degree of freedom in this problem. (i.e. List the 5 constraints.) (b) Derive an expression for the motion of the rod by: • Using θ as the generalized coordinate, • Finding T and V , • Finding L , the Lagrangian Function, and • Applying Lagrange’s Equation to solve for the equation of motion in terms of θ and it’s time derivatives. 2...
View
Full Document
 Spring '03
 EarlMurman
 Angular Momentum, Kinetic Energy, Moment Of Inertia, Rigid Body, Angular velocity, Prof. J. Deyst

Click to edit the document details