Question 4:For the mechanical system shown, find the input-output differential equation relating x, to thedisplacement input xa (t).000K₂0002(1)F

Given: Let us consider the given figure, To find: The input-output differential equation connecting…

Answered: Question 4: For the mechanical system…

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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Show the solution.
The isotropic reducing of the dimensions influences of the frequency as : Decreasing of natural frequency Increasing of natural frequency No change of natural frequency Resonance exiting Antiresonance exiting
Consider the system shown in the figure below. Assume that when z is zero, that the spring is at its unstretched length. That is, the restoring force in the spring only develops when z, (the figure is a little misleading here). Note that z, is defined as positive to the left and zg is defined as positive downwards. Syntax notes: when entering your responses, use x[1] for z1and x2] for z2. m[1] for m1. m[2] for mg, and g for gravity. Use T for the tension in the rope. You can use the loupimagnifying glass to check that what you entered is what you intended. Kinematics The change in z is related to the change in zgsince they are part of the same string. What is the kinematic relationship between the two of them? 21- -2x(2] Kinetic Energy Write the total system kinetic energy. (ie write it in terms of both z1and zgand their velocities). Use diffio(1]t).) for ż and diffx(2]t).1) for ż KE = (12)m[1]*(difix[1]{t),f)^2+(1/2}*m[2]*(diff(x{2]{t),f)^2 Now use your kinematic relationship to write…
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Question 4: For the mechanical system shown, find the input-output differential equation relating x, to the displacement input xa(t). K₁ 000 K₂ 000 33