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S12_mud

# S12_mud - Lecture S12 Muddiest Points General Comments In...

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Lecture S12 Muddiest Points General Comments In this lecture, we continued our discussion of states. We started with a concept tests on the number of states required in modelling a roller coaster, which caused some confusion. We continued with a description of a circuit in state-space form, and found the eigenvalues of the system, which are the same as the characteristic values. Responses to Muddiest-Part-of-the-Lecture Cards (44 cards) 1. The first PRS question was worded unclearly. (1) Sorry if you found it to be unclear. Was the wording unclear, or was it diﬃcult to figure out what the states are? 2. In the PRS question, no one knew you could assume you could assume you know the velocity distribution along the track. (1) I don’t think I said that. I said that you know that the velocity vector is along the track. Is that what you mean? If so, that was part of the point of the problem to determine what the minimum number of initial conditions is. 3. identifying states — not sure how to do it yet. (1) For circuits, it’s easy it’s all the capacitor voltages and all the inductor currents. For other systems, it takes a little more work. The easiest way to identify them is to figure out what initial conditions are required. These correspond to states. 4. The RLC circuit is pretty much analogous to the roller coaster, right? (1) Exactly! In both cases, two states are needed to describe the system. 5. For the concept question, the only states are d and v , because both can be determined from known parameters of s ? (1) d and v are states, because they are the only initial conditions you need

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