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Homework3_Solutions - MA 107 1. 2.25 Modeling And Analysis...

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MA 107 Modeling And Analysis of Dynamic Systems S06 Professor T-C. Tsao 1. 2.25 2. 2.29
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MA 107 Modeling And Analysis of Dynamic Systems S06 Professor T-C. Tsao The system is of two degree-of-freedom. The coordinates are x1 and θ as shown in the figure. Since the roller’s translational and rotational inertia are negligible, the static force balance gives Rx=f Ry= N R This may also be derived as below:
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MA 107 Modeling And Analysis of Dynamic Systems S06 Professor T-C. Tsao Then we work on the dynamic force balance of the rod:
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MA 107 Modeling And Analysis of Dynamic Systems S06 Professor T-C. Tsao Notice that the state variables in this systems are x1 D(x1), θ , and D( θ ). This system is nonlinear time invariant.
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MA 107 Modeling And Analysis of Dynamic Systems S06 Professor T-C. Tsao 4.5 Since the rods share the same force, they are in series connection. 4.17.This is a one-degree-of-freedom system.
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This note was uploaded on 09/17/2008 for the course MAE 107 taught by Professor Tsao during the Spring '06 term at UCLA.

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Homework3_Solutions - MA 107 1. 2.25 Modeling And Analysis...

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