This question asks for matrix form and NOT state space, but I don't understand what the difference between the two are. Suppose the model of a vehicle suspension is given below. Write the equation of motion inmatrix form (not in State Space form). Calculate the natural frequencies for k₁ = 103 N/m,10 N/m, m2 = 50kg, and m₁k2==2000kg.x1(t)m1wwwm1Car massk₁Car springk11x2(1)k2k2Tire stiffnessm2Tire massm2

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Answered: Suppose the model of a vehicle…

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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3. Suppose the model of a vehicle suspension is given below. Write the equation of motion in matrix form (not in State Space form). Calculate the natural frequencies for k₁ k2 10 N/m, m2 = 50kg, and m₁ = 2000kg. -= - - 103 N/m, 1 x1(c) m1 www m1 Car mass k₁ Car spring k1 k₂ Tire stiffness www x2(1) m2 Tire mass м2 k₂ ↑
O choose 1/2 dynamics model or whole- car dynamic model of the automobile O obtaion the motion differential equations of the chosen model and the equations of non-damping free vibration O calculate the natural frequencies and natural modes by Matlab program 1/2 dynamic model of the automobile parameters O% body mass M 690kg O mass moment of inertia J, = 1222kgm O wheel mass M= 40.5kg. M= 45.4kg O tire stiffness k =k, - 192000N/m O sispension stiffness ky 17000N/m. k, =2000ONim O suspension damping coefficient c c, = 1500Ns/m O geometry dimensions a= 1.25m, b= 1.51m whole-car dynamic model of the automobile Xe kater el kel lee kal te parameters O body mass m,-1380kg O mass moment of inertia of pitch 1,-2444kgm O mass moment of inertia of roll 1,-3800kgm O Viwheel distance t-0.74m O the other parameters are the same as the l/2 dynamic model
Given the vibrating system below: K4 Y(t) =Ysin30t where for = 30 and Y=20mm Find the following K1 K2 m C3 H C2 C1 C5 C4 1. Frequency Ratio 2. Displacement Transmissibility Ratio 3. Absolute displacement of the mass 4. Type of Damping 5. Equation of motion x(t). Assume Initial conditions for displacement and velocity 6. Graph 2 cycles of the vibrating system. You can use third party app for this. M = 10 kg K1=100 N/m K2= 80 N/m K3=75 N/m K4= 120 N/m C1 = 20Ns/m C2=40 Ns/m C3= 35Ns/m C4= 15 Ns/m C5= 10 Ns/m
Find the Frequency Ratio, Displacement, Transmissibility Ratio, Absolute displacement of the mass, Type of Damping, and Equation of motion x(t). Assume Initial conditions for displacement and velocity. Graph 2 cycles of the vibrating system.
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Help me with this ASAP. Thank you! Find the Following: 1. Natural angular velocity 2.Damped angular velocity 3. Equation of motion x(t). Assume Initial conditions for displacement and velocity 4. Graph 2 cycles of the vibrating system. You can use third party app for this.
HELP!!! ASAP!!! DIFERENTIAL EQUATION
6. The electro-mechanical system shown below consists of an electric motor with input voltage V which drives inertia I in the mechanical system (see torque T). Find the governing differential equations of motion for this electro-mechanical system in terms of the input voltage to the motor and output displacement y. Electrical System puthiy C V V₁ R bac (0) T bac T Motor - Motor Input Voltage - Motor Back EMF = Kbac ( - Motor Angular Velocity - Motor Output Torque = K₂ i Kbacs K₁ - Motor Constants Mechanical System M T Frictionless Support
Please use equations attached
if u answer this question, i will be happy :) because this is my the most difficult homework.
Needs Complete typed solution with 100 % accuracy. Otherwise skip if you can't give complete solution don't use chat gpt or ai i definitely upvote you.
An automobile is modeled as shown in Figure below. Derive the equations of motion, build the Simulink diagram, and simudate the system for the given numerical values. F1 and F2 are to be chosen suitably to represent the road conditions. -Mass = M, mass moment of inertia = JG k2 F1 k2 X1 F2 2 11 m2 {k1 k1 JG= 3443.05; k2= 26530; k2= 26530; k1= 190000; k1 = 190000; m1 = 140.14; m2=87.15; M=1795; C1= 1200; c2=1100; l1= 1.32; l2= 1.46; ||

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