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 2mL²; 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 conditions. Lastly, compute the damping ratio and damped natural frequency for this system. 27 1 192 Fo sin cor 4/4 L 4 fimo Lc m Mo sin cor

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 2mL²; 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 conditions. Lastly, compute the damping ratio and damped natural frequency for this system. 27 1 192 Fo sin cor 4/4 L 4 fimo Lc m Mo sin cor

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Question

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 (F, 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 2 mL²; the one to the
27
192
Fo sin cor
right has a mass moment of inertia of mL². Then transform this
differential equation of the Laplace domain, assuming zero initial
192
conditions. Lastly, compute the damping ratio and damped natural frequency for this system.
1/4+1/12
mo
LUC
m
Mo sin cor

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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 27 192 1 mL². Then transform this Fo sin cor right has a mass moment of inertia of- 192 differential equation of the Laplace domain, assuming zero initial conditions. Lastly, compute the damping ratio and damped natural frequency for this system. TET 4 fm o Mo sin or
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