* = Seen in Figure 1, a rotating mass (with mass moment of inertia Id = to a fixed wall (on the far left) by a torsional spring (k 1kg m² and angular position a) is attached 1Nm/rad) and a torsional damper. Consider the spring and damper as concentric and in parallel. Dampers with damping ratios of c = be considered. At t = 0, a unit step torque Tin is applied to the rotating mass. A unit step input is a forcing function - 0.1, 0.5, 1.0, and 1.5kg m²/s will whose value is 0 from -∞ to some time to and 1 from to to co. Here, to = 0. k minning C 0 doc la Tin 0d *

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Seen in Figure 1, a rotating mass (with mass moment of inertia Id
to a fixed wall (on the far left) by a torsional spring (k
1kg* m² and angular position a) is attached
1Nm/rad) and a torsional damper. Consider the spring
and damper as concentric and in parallel. Dampers with damping ratios of c =
be considered. Att =
0.1, 0.5, 1.0, and 1.5kg * m²/s will
0, a unit step torque Tin is applied to the rotating mass. A unit step input is a forcing function
whose value is 0 from -∞o to some time to and 1 from to to oo. Here, to = 0.
Your tasks:
k
ww
+
C
=
la
Od
A Derive the equation of motion of the rotating mass. Write c as
EOM's for the different values of c.
Tin
0
Figure 1: Schematic of the mechanical system to model in Problem 1.
em, you will solve part B over MA AB Grader Plea
LO
onment
variable. You do not need to write separate
ד ו.
for
Transcribed Image Text:Seen in Figure 1, a rotating mass (with mass moment of inertia Id to a fixed wall (on the far left) by a torsional spring (k 1kg* m² and angular position a) is attached 1Nm/rad) and a torsional damper. Consider the spring and damper as concentric and in parallel. Dampers with damping ratios of c = be considered. Att = 0.1, 0.5, 1.0, and 1.5kg * m²/s will 0, a unit step torque Tin is applied to the rotating mass. A unit step input is a forcing function whose value is 0 from -∞o to some time to and 1 from to to oo. Here, to = 0. Your tasks: k ww + C = la Od A Derive the equation of motion of the rotating mass. Write c as EOM's for the different values of c. Tin 0 Figure 1: Schematic of the mechanical system to model in Problem 1. em, you will solve part B over MA AB Grader Plea LO onment variable. You do not need to write separate ד ו. for
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