A numerical with a and parts solution given just do b c d parts a) Consider a simplified quarter model of a passenger car suspension system as shown inthe figure 2(a). For a more accurate calculation, in general, damping characteristikcs andspring stiffness of the system should be modelled by considering a 2-DOF system, asshown in the figure 2b). However, for the sake of simplicity, let's consider analysing it asa1-DOF system, as shown in the figure 2e) below:w wheelSpringCcar bodyReadC(a)te)Figure 2 (a) Suspension system of a simplified Quarter-car model (b) The representativesystem considering 2-DOF (e) Simplified 1-DOF modelWrite the equations of motion for displocement x for the 1-DOF medel.b) If the displacement created by a rough road is represented by the followingequation,6() - (0.019) sin (6.5321) mAnd, the suspension system damping coefficient e 39 x 10 kg/s, equivalentspring stiffness of k= 389 kN/m, the mass the car = 1153 kg (with only thedriver inside the car when the car was running).Calculate the amplitude of the maximum displacement xm of the car.e) Consider the same car with wo more added passengers, 150 kg is added to the totalmas of the car. What is the change in natal fequency, velocity amplitade, andacceleration amplitude if the absolute maximum deflection a to remain same afteradding the passengers as you've calculated in part "7d) Now consider another car (Car 2) which is 400 kg heavier than the first car consideredin part "e". Both cars have same passengers, same usprosion system ie similardemping coefficient and equivalent spring constant). ir he variablecreating a forced fiequency or-02875v, wheee is the speed ocalculate the deflections xi (for car 1) and e (for car 2) when both can.50, 70, 100, and 110 kmh and fill eut the following tableeiDeflectionDeflectionFrequencyratio for car 2,CarFrequencyratio for car 1.speed(m/s)Deflection due to the road condition follows the following function,where, 0.019Also, what is the impact of increasing the speed in both cars?e) From a design perspective, is the suspension system wed for the second canappropriate? How would you adjust the values of damping coefficient e nd springconstant k such that the amplitude transmitted to the passenger compartment is kept toas low as possible? (a)S- extemal exi cationenungy T(x,) theand caternal fo reing and dipatie forus l i,x)kinetfepotlentional V()V(x) = 1 k Cact)")pex, á)- -cá Ct) +E%3D2.deorngugre dagrange's lqua tón dor IDDF :-dtEquation of motionmä(t)+cé (t) +k XIt) =S,.S(t)- 0.019 )sin (6.5329SLE)A Sin lwtto)SLt): A sin lwt +oSLE) - Asin Cwt)(0.019) SiR (G.532t)Marimum amplitudeA =0.019.

Answered: Image /qna-images/answer/4e4f56b0-6e47-4108-af87-b53e579c51c1.jpg

) Consder asimped quarter model of a paenger carpenson system ashown the fere 2. For amore accurate calulation, in general, damping dcharacterities and pring sines of the nytem should be modelled by considering a 200F nytem, a shown in the feure 2. However, for the sake of simplicity, let's consider anlyingita 1DOF ytem, hownin the fre below whed

) Consder asimped quarter model of a paenger carpenson system ashown the fere 2. For amore accurate calulation, in general, damping dcharacterities and pring sines of the nytem should be modelled by considering a 200F nytem, a shown in the feure 2. However, for the sake of simplicity, let's consider anlyingita 1DOF ytem, hownin the fre below whed

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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