In Figure 3, a wheel (solid disk) of known mass m and moment of inertia I, rolls without slipping and is attached toa spring and a damper that are connected to a fixed support. The point P is approximately vertical over the centerof the disk at point O, which means you can use the small angle assumption. There is an input torque from a motor,T(t).1m, 10 = = mR²loRbQT(t)kFigure 3: Schematic of the mechanical system to model in Problem 4.Your tasks:A Draw the free body diagram of the diskB Derive the equation of motion of the disk in terms of the rotation angle, 0.C Does the location of the input moment 7 make a difference in your strategy on how to go about your analysis?Why or why not?

The moment of inertia of solid disc is The mass of disc is .The input torque is .

In Figure 3, a wheel (solid disk) of known mass m and moment of inertia I, rolls without slipping and is attached to a spring and a damper that are connected to a fixed support. The point P is approximately vertical over the center of the disk at point O, which means you can use the small angle assumption. There is an input torque from a motor, T(t). 1 m, lo=mR² 2 R 0 P T(t) Figure 3: Schematic of the mechanical system to model in Problem 4. Your tasks: A Draw the free body diagram of the disk B Derive the equation of motion of the disk in terms of the rotation angle, 0. C Does the location of the input moment 7 make a difference in your strategy on how to go about your analysis? Why or why not

In Figure 3, a wheel (solid disk) of known mass m and moment of inertia I, rolls without slipping and is attached to a spring and a damper that are connected to a fixed support. The point P is approximately vertical over the center of the disk at point O, which means you can use the small angle assumption. There is an input torque from a motor, T(t). 1 m, lo=mR² 2 R 0 P T(t) Figure 3: Schematic of the mechanical system to model in Problem 4. Your tasks: A Draw the free body diagram of the disk B Derive the equation of motion of the disk in terms of the rotation angle, 0. C Does the location of the input moment 7 make a difference in your strategy on how to go about your analysis? Why or why not

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

In Figure 3, a wheel (solid disk) of known mass m and moment of inertia I, rolls without slipping and is attached to
a spring and a damper that are connected to a fixed support. The point P is approximately vertical over the center
of the disk at point O, which means you can use the small angle assumption. There is an input torque from a motor,
T(t).
1
m, 10 = = mR²
lo
R
b
Q
T(t)
k
Figure 3: Schematic of the mechanical system to model in Problem 4.
Your tasks:
A Draw the free body diagram of the disk
B Derive the equation of motion of the disk in terms of the rotation angle, 0.
C Does the location of the input moment 7 make a difference in your strategy on how to go about your analysis?
Why or why not?

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