How to answer Number 3 of the problem? Thank you Project 1 A Vibration Insulation ProblemPassive isolation systems are sometimes used to insulate delicate equipment from unwantedvibrations. For example, in order to insulate electrical monitoring equipment from vibrationspresent in the floor of an industrial plant, the equipment may be placed on a platformsupported by flexible mountings resting on the floor. A simple physical model for such asystem is shown in Figure 4.P.1, where the mountings are modeled as an equivalent linearspring with spring constant k, the combined mass of the platform and equipment is m, andviscous damping with damping coefficient y is assumed. Assume also that only verticalmotion occurs. In this project, we use this model to illustrate an important fundamentalprinciple in the design of a passive isolation system.my(t)JueFIGURE 4.P.1Equipment supported by flexible mountings. Project 1 PROBLEMS1. Denote by y(t) the displacement of the platformfrom its equilibrium position relative to a fixedframe of reference. Relative to the same fixed ref-3. Plot the graphs of TR versus the dimensionlessratio w/w for 5 = 0.1, 0.5, 1, 2. For what valuesof w/wo is TR = 1? Explain why the graphs implythat it is desirable that the mountings have a lownatural frequency in order to isolate the vibrationsource from the equipment platform, and that usinglow-stiffness isolators is one way to achieve this.4. The vibrations in the floor of an industrial plant liein the range 16-75 Hz. The combined mass of theequipment and platform is 38 kg, and the viscousdamping ratio of the suspension is 0.2. Find themaximum value of the spring stiffiness if the ampli-tude of the transmitted vibration is to be less thanerence frame, let u(t) represent the displacement ofthe plant floor from its equilibrium position. Showthat the differential equation for the motion of theplatform isy" + 25woy' + wỗy = 25wou' + wžu,(i)%3Dwhere an = Jk/m and = y/2/mk is a dimen-sionless parameter known as the viscous dampingratio.2. Denote by G(ia) the frequency response of Eq. (i),that is, the ratio of the steady-state response tothe harmonic input u(t) = Aeet. The transmis-sibility TR of the platform mounting system isthen defined to be the corresponding gain function,TR = |G(i@)|. Show that TR can be expressed as10% of the amplitude of the floor vibration over thegiven frequency range.5. Test the results of your design strategy for the situ-ation described in Problem 4 by performing severalnumerical simulations of Eq. (i) in Problem 1 usingvarious values of k as well as various input frequen-cies while holding the value of fixed. For eachsimulation, plot the input u(t) and the response y(t)on the same set of coordinate axes. Do the numerical1+(25-TR =+|25simulations support your theoretical results?

Answered: Image /qna-images/answer/42850d11-3be0-44f7-b1e2-80fd332c68b4.jpg

Project 1 A Vibration Insulation Problem Passive isolation systems are sometimes used to insulate delicate equipment from unwanted vibrations. For example, in order to insulate electrical monitoring equipment from vibrations present in the floor of an industrial plant, the equipment may be placed on a platform supported by flexible mountings resting on the floor. A simple physical model for such a system is shown in Figure 4.P.1, where the mountings are modeled as an equivalent linear spring with spring constant k, the combined mass of the platform and equipment is m, and viscous damping with damping coefficient y is assumed. Assume also that only vertical motion occurs. In this project, we use this model to illustrate an important fundamental principle in the design of a passive isolation system. m FIGURE 4.P.1 Equipment supported by flexible mountings.

Project 1 A Vibration Insulation Problem Passive isolation systems are sometimes used to insulate delicate equipment from unwanted vibrations. For example, in order to insulate electrical monitoring equipment from vibrations present in the floor of an industrial plant, the equipment may be placed on a platform supported by flexible mountings resting on the floor. A simple physical model for such a system is shown in Figure 4.P.1, where the mountings are modeled as an equivalent linear spring with spring constant k, the combined mass of the platform and equipment is m, and viscous damping with damping coefficient y is assumed. Assume also that only vertical motion occurs. In this project, we use this model to illustrate an important fundamental principle in the design of a passive isolation system. m FIGURE 4.P.1 Equipment supported by flexible mountings.

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

See similar textbooks

Similar questions

The numerical value for the ideal mechanical advantage of a bicycle with 10 teeth on the effort gear and 40 teeth on the load.
(a) A turning operation is performed on a 660 mm cylindrical part of a certain alloy. The work material has a length of 140 mm as shown in Figure Q3-1. The finished (produced) part is shown in Figure Q3-2 which has an overall length of 100 mm. The remaining part of the raw material length is kept as a gripped part on the turning machine chuck. The cutting data is shown in Table Q3(a). Apply engineering calculations on the given metal cutting operations, Table Q3(a) Depth of cut Feed 2.5mm 0.15mm/rev Cutting Speed Rake angle The chip thickness after cut Shear strength 40m/min 50 0.17mm 280 MPa (i) Shear force. (ii) Coefficient of friction. e (iii) Cutting force. (iv) Time required to cut the part (v) Rate of material removal. 50mm $60mm -20mm 60 mm 140 mm 40 mm Figure Q3-1 Figure Q3-2 4 1 + DRG Ans Realm ? Ran x10*
PLease answer this question, Thank you very much
b) Fig. 3 shows a graph that has variable drive torque and constant load torque. The load (2 torque is 500Nm with average speed of 30rpm. A complete cycle for the system is 3x radian. Determine thickness of the flywheel if you want to reduce the coefficient speed of fluctiation from 0.15 to 0.1. Assume the diameter for the flywheel is 50cm and material used is steel (p = 8050kg/m³) le.. Torque (N-m) cm 750 220 K 2n 3 8h3 3" 3n 8(rad)
A medium drive of a steel hub of a gear with an outside diameter of 80 mm on a steel shaft is required. a) Make the dimensional decisions for a 49-mm basic size with a medium drive fit for the hub and shaft, and specify dimensions with tolerances for the shaft and the hub bore for the fit. b) When the interference pressure "p" is at a minimum (p at Smin) for the specified tolerances how much torque (in Nm) can be transferred with the medium drive fitted assembly if the steel to steel friction is 0,8 and the hub of the length is 170 mm. E=207 GPa
The denomination for a force or shrink fit in the US system is ?
Thank you, Could you help me with Problem 60 as well?
Choose 3 of the most important methods, theorems, principles, or concepts from Statics. Write approximately 3-5 coherent sentences about each IN YOUR OWN WORDS, why they are important, and how they are used. No cutting and pasting except perhaps for an equation or two.
8Given the material composition is 2024 aluminum with two different material thickness. The skin is 0.040" material thickness and the patch is 0.032" of material thickness with crack length of 2". Calculate the rivet diameter, rivet length, rivet pitch, transverse pitch and edge distance for the repair layout.
what process is this? how to perform this? Procedure in position?
Selasi wants a shaft of 5/8 inches diameter to be used in his design project of which he is considering a design factor of 3. He hopes to get the same shaft size or 11/16 inch diameter shaft in the market for his design. So he decided to send his apprentice, Amuzu to the market. Unfortunately, when Amuzu went to the market, there were 1⁄2 inch, 9/16 inch, 3⁄4 inch, and 7/8 inch sizes available in the first shop. Amuzu decided to buy the nearest shaft size in the first shop instead of checking in the other shops where he could have gotten either 5/8 inch or 11/16 inch sizes.a. Discuss the consequences Selasi would incur in his design project if Amuzu had bought 9/16 inch size shaft. b. Discuss the consequences Selasi would incur in his design project if Amuzu had bought 3⁄4 inch size shaft.
Quickly cover the many kinds of interruptions and then illustrate their importance to the machine with a concrete example.