Please show solution clearly 5. [Extra Credit] Consider the mechanical system with displacement x(t) and force f(t) in thefigure below with elements: M=1kg, K₁=4N/m, K2=2N/m, and fv=3Ns/mK₁ooooMK₂oooofv(a) Draw the free-body-diagramof the mechanical system(b) Write the Laplace transform for the equation of motion(c) Find X(s)/F(s)

To Draw : The free body diagram of the mechanical system. Given : The mass is M=1 kg The coefficient…

Answered: [Extra Credit] Consider the mechanical…

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 ↑
P4.8 Determine the rotational speed of link 3 of the mechanism given in figure P4.8 for the position shown. Use a complex numbers approach
(2) Please write out the Equation of Movements of the following system using matrix. (Figure 2) 1 Note: Lagrange's approach is recommended. „P₂(t) ks ww P₁(t) k₁ wwm, www k₂ m₂ k6 www P3(t) k₁ k3 www m3 www Figure 2: N Degree Vibration System
Please Help with this question. Show clear steps and highlight the answers.
Consider the following rotational mechanical system, a. Apply the "by inspection" method in Laplace domain to write the system of equations that represents the dynamics of the system b. Solve for the output variable q1(s). Use Cramer's rule or the substitution method to solve for the output variable q1(s). c. Give the transfer function G(s) = 91(s)/T(s) 0₁ (1) T(1) J1 82(1) oför J2 oooo K₁ K2 oooo D
You are requested to design an automotive suspension or shock absorber system. In order to simplify the problem to one dimensional multiple mass-spring-damper system, a quarter vehicle model is used. The system parameters and free-body diagram of such system is shown below. M₁: Automobile body mass M₂: Wheel and suspension mass K₁: Spring constant of suspension system K2: Spring constant of wheel and tire B: Damping constant of shock absorber (a) Obtain the transfer function of X₁ (s) F(s) T₁(s) = = 2500 kg = 320 kg and T₂(s) = = 80,000 N/m = 500,000 N/m = 350 N-s/m Automobile- Suspension system Wheel- M₁ M₂ X₁ (s) - X₂ (S) F(s) in terms of the parameters of mass, damper and elastance (M, B and K). (b) Express the T₁ (s) and T₂ (s) with numerical values. c) Plot the x₁ (t) and x₁ (t) = x₂(t) outputs of this passive suspension system for the input torque f(t) = 2,000 N. fit) K₂ x₂(t) -Tire
GIVE ME THE COMPLETE SOLUTION FOR THISTHIS IS THE ANSWER ACC TO THE ANSWER KEY I JUST NEED HELP FOR THE SOLUTION Theta3/T = ((5*s^2 + 9*s + 9))/(15*s^5 + 47*s^4 + 117*s^3 + 161*s^2 + 81*s)
LAPLACE TRANSFORM .need only handwritten solution .otherwise downvote.
The following figure shows a machine of mass m mounted on a vibration isolator. The machine (starting at rest at t=0) is subjected to a sinusoidal excitation force p(t) = P sin wt. Solve for the transfer function X(s)/P(s). Then state in words the process you would then follow to determine the force transmissibility, TR. p(t) = P sin wi m b₂
Write the differential equations of motion, convert to Laplace domain and find the transfer function indicated. Use: k1 = k2 = 4, m1 = m2 = 1, c=2 G(s) = %3D %| X2(s) Y(s)
PLS PROVIDE ME WITH THE COMPLETE SOLUTION
Figure Q3 shows one cart with a mass that is separated from two walls by two springs and a dashpot, where kı, k2 and ka are the first, second spring and dashpot coefficients, respectively. The mass, m could represent an automobile system. An external force is also shown as F(t). Only horizontal motion and forces are considered. F(t) is input and x2(t) is output. (a) Derive all equations related to the system (b) Construct the block diagram from equation in (a) (c) Obtain the transfer function of the system

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[Extra Credit] Consider the mechanical syste figure below with elements: M=1kg, K₁=4N/m, K2=2N/m, and fv=3Ns/m K₁ oooo M K₂ oooo fy (a) Draw the free-body-diagram of the mechanical system (b) Write the Laplace transform for the equation of motion (c) Find X(s)/F(s) f(t)