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Unformatted text preview: ME360 - Dynamic Systems HW2 Prof. Gillespie - Fall 2010 ME360 - Dynamic Systems - Fall 2010 HW2 - Due Sept 16 For reference, read your lecture notes, the linearization handout(s), and section 1.3 of the textbook. Sample problems: Examples 1.3.2, 1.3.3, and 1.3.4. Problem 1 Problem 1.15 from the book Problem 2 Winter may not be here yet, but it will arrive soon enough. Then you’ll want to hit the slopes. And hit them you will with your newly earned knowledge of system dynamics. The block of mass m on the in- clined plane sketched below represents you on the snowy slope. The conditions are perfect. Friction between you and the slope is gone. As it so happens, you still have to breathe, and aerodynamic drag is still some- thing you must overcome to achieve the speed you’re after. Let us model aerodynamic drag as f a = av 2 , where a is an empirical constant and v is your speed relative to the mass of air through which you slice. θ M f a g v 1. Determine the nonlinear equations of motion that govern your speed on the slope. Note: you may consider θ a variable rather than a parameter, and determine a linear forcing function that is a function of both...
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- Fall '10
- Derivative, Function block, DYNAMIC SYSTEMS, equilibrium solution, Prof. Gillespie