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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 oor. 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 as the generalized coordinate, Finding T and V , Finding L , the Lagrangian Function, and Applying Lagranges Equation to solve for the equation of motion in terms of and its time derivatives. 2...
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- Spring '03