In Figure 2, a solid disk of known mass M and moment of inertia I, rolls without slipping and is attached to two springs and a damper that are connected to fixed supports. The disk has two different thicknesses resulting in two different radii. The first spring is attached to the center of mass at point O. The damper is attached to the inner radius at point P. The second spring is attached to the outer radius at point Q. The points P and Q are approximately vertical over the center of the disk at point O, which means you can use the small angle assumption. X Q 10, M P 0 7 R₁ R₂ k Figure 2: Schematic of the mechanical system to model in Problem 3. Your tasks: A Draw the free body diagram of the disk. 3 Derive the equation of motion of the disk in terms of the horizontal translation of the center of mass, a

In Figure 2, a solid disk of known mass M and moment of inertia I, rolls without slipping and is attached to two springs and a damper that are connected to fixed supports. The disk has two different thicknesses resulting in two different radii. The first spring is attached to the center of mass at point O. The damper is attached to the inner radius at point P. The second spring is attached to the outer radius at point Q. The points P and Q are approximately vertical over the center of the disk at point O, which means you can use the small angle assumption. X Q 10, M P 0 7 R₁ R₂ k Figure 2: Schematic of the mechanical system to model in Problem 3. Your tasks: A Draw the free body diagram of the disk. 3 Derive the equation of motion of the disk in terms of the horizontal translation of the center of mass, a

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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