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Quiz 08 Solution - form including the output equation b...

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ME 360 Fall 11 11/01/11 Name Quiz 8 Consider the system at right, with F as input and angular velocity Ω as output. The system has a rotational damper B and a translational damper b . The (rack and) pinion has radius r and inertia J . a. Define a set of state variables, and find the state- space equations for the system. Put them in matrix
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Unformatted text preview: form including the output equation. b. Suppose the input-output differential equation for the system is Ω + 4 Ω + 1 Ω = 2 F . Use its transfer function to find the steady-state solution to a sinusoidal input F = cos ω t . Hint: you should use j . ± ± ± ± B M r J x F ( t ) ± ± ± ± ± ± ± ± b K 1...
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