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Unformatted text preview: D l F A F B A h h ( t ) ( t ) C m, I C B a b Problem 2 A cart and a rolling disk are connected by a rigid massless link of length L , as shown in the figure below. The disk rolls without slipping. Use Lagrange multipliers to determine the force in the link. m C L R M θ h x g Problem 3 Consider the “spinning disk on a rotating linkage with torsional spring” problem discussed in class. (a) By introducing generalized moments associated with the coordinates ϕ and ψ , reduce the set of equations of motions to a single equation of motion for ν . (b) For p = 0, sketch the trajectories of the above equation on the ( ) phase plane for different values of p υ υ , & (select all other parameters to be equal to one)....
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- Fall '04
- lagrange multipliers, Problem Set No., wheelbarrow, ν.