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ME 360
Fall 11 10/04/11
Name
Quiz 5
The system at right has a rotational massspringdamper driven by a
gear, with prescribed rotation
θ
0
as input.
a. Find a differential equation for the system, with
0
(
t
) as input, and
2
as output. The radii of the two gears are
r
0
and
r
1
. Be sure to show a
free body diagram with shared velocities at the points of contact and
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Unformatted text preview: equal and opposite reaction forces. b. Suppose the differential equation for the system were 2 + 2 2 + 37 2 = − 37 t ( ) , with initial conditions 2 ( ) = 1 , 2 ( ) = . Make a very rough sketch of the free response, showing the decay of the exponential envelope and the sinusoidal period....
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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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