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Long question 2 (Total 20 points) Tests the Core outcomes 1…

Long question 2 (Total 20 points) Tests the Core outcomes 1 and 2 A building is modelled as a box of mass m1. It is connected to the ground (L shaped and brown) via a spring k1 and damper c1. During an earthquake, the ground shakes horizontally such that its position is given by u(t) from a fixed reference. The variable y1 is the displacement of the building m1 relative to the ground.  To ‘reduce’ the building motion, a vibration absorber is placed inside the building. It is a mass m2 connected to building via spring k2 and damper c2. The variable y2 is the displacement of m2 relative to the ground (not relative to the building) Your ultimate objectiveFind the TF from U to Y1.  Only worry about the motion in the x-direction (which is unaffected by gravity).All friction between the contacting surfaces is modelled via dampers. There is no extra/other friction.Assume all the displacements are measured from the equilibrium positions, Hence, you don’t need the natural lengths of the springs.      Procedure  Work neatly on paper showing all FBDs, all equations, algebra, etc.Neat + clean + organized  = extra credit! Then show your papers to camera, Then complete the auto-graded questions below.  After exam, submit your work as a pdf on canvas.  You’ll get some partial credit for that.    Auto-graded questions  (2 points) Force by spring k1 is:     Fs1 = k1*[y1](2 points) Force by damper c1 is:   Fd1 = c1*[y1dot](2 points) Force by spring k2 is:     Fs2 = k2*[y1my1](2 points) Force by damper c2 is:  Fd2 = c2*[y1my1dot](2 points) Acceleration of mass m1 is:   a1 = [u+y1doubledot](2 points) Acceleration of mass m2 is:   a2 = [u+y2doubledot] (4 points) Newton’s law for mass1:  [minus](Fs1 + Fd1) [plus](Fs2 +Fd2) = m1*a1 (4 points) Newton’s law for mass2:  [zero](Fs1 + Fd1) [minus2](Fs2 +Fd2) = m2*a2 (2 points) To solve for transfer function from U to Y1, you will solve for [Y2] from Newton’s law for mass 1 and plug it into Newton’s law for mass2. Then you’ll rearrange that resulting equation so that it’s of the form [Y1] = something*[U]. This something is your transfer function.     

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Chapter 6 6-3

Chapter 6 6-3

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Upload all your work for the entire test as a single pdf.  

Upload all your work for the entire test as a single pdf.  

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Chapter 6 6-8

Chapter 6 6-8

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Chapter 5 5.8 worksheet

Chapter 5 5.8 worksheet

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Which of the following clients are likely experiencing some…

Which of the following clients are likely experiencing some form of valvular stenosis? Select all that apply 

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Which nursing action is most important preoperativelyl for a…

Which nursing action is most important preoperativelyl for a client with an aortic dissection? 

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The nurse is educating a patient on diet changes to help man…

The nurse is educating a patient on diet changes to help manage hypertension.  What food choices indicate understanding by the client? 

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Long question 1 (Total 20 points) Tests the Core outcomes 1…

Long question 1 (Total 20 points) Tests the Core outcomes 1 and 2 You can model a standing robot as an inverted pendulum hinged at the ankle joint O. It has mass m and moment of inertia JO about angle O. Distance of the center of mass from ankle O is L. The ankle motor is given a voltage V and current I. It provides a torque T  and speed ω. The aim is to keep the robot stable in the vertical position (

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Below are the Auto-graded short questionsType/click the answ…

Below are the Auto-graded short questionsType/click the answer. No need to show or upload any work.   

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