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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 inputoutput differential equation for the system is Ω + 4 Ω + 1 Ω = 2 F . Use its transfer function to find the steadystate 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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This note was uploaded on 11/22/2011 for the course ME ME360 taught by Professor Kuo during the Fall '11 term at University of Michigan.
 Fall '11
 KUO
 Damper

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