Derive the equation of motion for the following system, using (the rotation of the beam about the hinge) as the degree-of-freedom. Not that there is an applied force (Fo sin wt) as well as an applied moment (Mo sin wt). The total bar mass is m. Treat the bar as two bars: one to the left of the hinge point; one to the right. The one to the left has a mass moment of inertia of- mL²; the one to the right has a mass moment of inertia of- mL². Then transform this differential equation of the Laplace domain, assuming zero initial 27 192 1 192 conditions. Lastly, compute the damping ratio and damped natural frequency for this system. Fo sin cor 44 fro E Mo sin or
Derive the equation of motion for the following system, using (the rotation of the beam about the hinge) as the degree-of-freedom. Not that there is an applied force (Fo sin wt) as well as an applied moment (Mo sin wt). The total bar mass is m. Treat the bar as two bars: one to the left of the hinge point; one to the right. The one to the left has a mass moment of inertia of- mL²; the one to the right has a mass moment of inertia of- mL². Then transform this differential equation of the Laplace domain, assuming zero initial 27 192 1 192 conditions. Lastly, compute the damping ratio and damped natural frequency for this system. Fo sin cor 44 fro E Mo sin or
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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