Problem 4. EOM Derivation Derive the equation of motion for the following system: We want to measure the spin rate w of the rotating shaft of a turbine. To do it we push a small mass m against the end of the shaft. The shaft makes friction contact with the drag cup mounted on the mass. The frictional torque is b (w). Assume that the rotational spring torque is ke and that the moment of inertia of mass m is J. b Rotating Shaft B J, m Drag Cup 70 Wall

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Problem 4. EOM Derivation
Derive the equation of motion for the following system: We want to measure the spin rate
w of the rotating shaft of a turbine. To do it we push a small mass m against the end of
the shaft. The shaft makes friction contact with the drag cup mounted on the mass. The
frictional torque is b (w). Assume that the rotational spring torque is ke and that the
moment of inertia of mass m is J.
J
Rotating Shaft
F3
@
$
4
R
b
J, m
Drag Cup
F4
Q Search
%
5
F5
T
0
Wall
*
A
6
F6
Y
2
*
F7
&
7
PrtScn
U
F8
4
8
Home
6.
F9
9
End
F10
Po
0
Transcribed Image Text:* F2 # 3 E Problem 4. EOM Derivation Derive the equation of motion for the following system: We want to measure the spin rate w of the rotating shaft of a turbine. To do it we push a small mass m against the end of the shaft. The shaft makes friction contact with the drag cup mounted on the mass. The frictional torque is b (w). Assume that the rotational spring torque is ke and that the moment of inertia of mass m is J. J Rotating Shaft F3 @ $ 4 R b J, m Drag Cup F4 Q Search % 5 F5 T 0 Wall * A 6 F6 Y 2 * F7 & 7 PrtScn U F8 4 8 Home 6. F9 9 End F10 Po 0
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Mechanical Engineering homework question answer, step 1, image 1

The frictional torque is bω-dθdt.

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