Difference between revisions of "FAQ: In Exercise 2.10, what do the variables phi represent?"

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{{FAQ page
 
{{FAQ page
| chapter = Chapter Name
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| chapter = System Modeling
 
| contributor = Richard Murray
 
| contributor = Richard Murray
| date = 17 May 2008
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| date = 1 October 2012
 
| answer =  
 
| answer =  
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The variables <amsmath>\varphi_1</amsmath> and <amsmath>\varphi_2</amsmath> are the angles of the two masses on the shaftThe velocity of these masses are given by <amsmath>\omega_i = d\varphi_i/dt</amsmath>.  The remaining parameter values describe the physical constants for the system:
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<amsmath>J_i</amsmath> represents moments of inertia, <amsmath>c</amsmath> is the damping
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coefficient, <amsmath>k</amsmath> represents the shaft stiffness, <amsmath>k_I</amsmath> is the torque
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constant for the motor, and <amsmath>T_d</amsmath> is the disturbance torque applied at
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the end of the shaft.
 
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Latest revision as of 17:02, 1 October 2012

(Contributed by Richard Murray, 1 October 2012)

The variables math and math are the angles of the two masses on the shaft. The velocity of these masses are given by math. The remaining parameter values describe the physical constants for the system: math represents moments of inertia, math is the damping coefficient, math represents the shaft stiffness, math is the torque constant for the motor, and math is the disturbance torque applied at the end of the shaft.