k₁B₁Fs(t)wwk212mB2Figure 4: A translational system2. Consider a translational system shown in Fig. 4. Answer the following questions.(a) Draw a linear graph and write down all the elemental equations. (Don't draw the normaltree yet.)(b) From the elemental equation you write down, identify three variables that can potentiallyserve as state variables and explain why.(c) Are these potential state variables independent of each other? If not, use either conti-nuity or compatibility equation to prove it. How would you choose your state variables?(d) Draw a normal tree to see if there is any dependent energy storage element. What are thestate variables according to your normal tree? Are they consistent with the explanationin the Part (c)?

(a) Drawing a linear graph and writing down elemental equations:A linear graph representing the…

Answered: k₁ B₁ Fs(t) ww k2 12 m B2 Figure 4: A…

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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As4. This is my third time asking this question. Please DO NOT copy and paste someone else's work or some random notes. I need an answer to this question. There is a mass attached to a spring which is fixed against a wall. The spring is compressed and then released. Friction and is neglected. The velocity and displacement of the mass need to be modeled with an equation or set of equations so that various masses and spring constants can be input into Matlab and their motion can be observed. Motion after being released is only important, the spring being compressed is not important. This could be solved with dynamics, Matlab, there are multiple approaches.
In this problem, you will have to first create a Python function called twobody_dynamics_first_order_EoMS. Given a time t and a state vector X, this function will return the derivatives of the state vector. Mathematically, this means you are computing X using some dynamics equation X = f(t, X). Once you have this function in Python, you can solve the differential equations it contains by using solve_ivp. The command will be similar to, but not necessarily exactly, what is shown below: solve_ivp(simple_pendulum_first_order_EoMS, t_span, initial_conditions, args=constants, rtol 1e-8, atol 1e-8) which integrates the differential equations of motion to give us solutions to the states (i.e., position and velocity of a satellite). In the above, t_span contains the initial time to and final time tƒ and it will compute the solution at every instant of time (you will define this later in Problem 1.3 below). The integration is done with initial state vector Xo which defines the initial position…
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4. For the fluid system in Fig 6 construct the linear graph, identify the state variables, and derive the state equations. The output variables are the pressure p₁ and på at the tanks. C₁ Aut I,R 0,01) - Figure 6: An fluid system R₂ V (t) ww Rs ERL L V (1) Figure 7: A tuning circuit for radio
Is there any built in functions in MATLAB that transform a given Direction Cosine Matrix (DCM) to Principal Rotation Paramters (PRP)? For example, If I have a DCM, the function would give the axis, lambda, and the angle, theta. Also, is there any built in functions that would transform a Direction Cosine Matrix to Euler Parameters (EP) and Modified Rodrigiues Parameters and Classical Rodriguess Parameters? If I had the DCM given in the image, what would the code in MATLAB to transform it to PRP, EP, MRP, CRP look like?
I am trying to find a Direction Cosine Matrix (DCM) for the Euler angle body 1-2-3 sequence. I tried making my own function and using the MATLAB function, but the result is a matrix that is transpose of each other. I mean that transpose(EA123toDCM) = E123toDCM. Why is that? Also, for the E123toDCM line, I am using the sequence 'ZYX'. Is that correct or should it be 'XYZ'? I know that that for a DCM of sequence 1-2-3 = R3(theta1)*R2(theta2)*R1(theta3). Is ZYX sequence the same as a 1-2-3 sequence? EA = [pi/3; -pi/4; -pi/6];EA123toDCM = EA123DCM(EA) E123toDCM = angle2dcm(EA(1,1), EA(2,1), EA(3,1), 'ZYX') function [R] = EA123DCM(EA) theta1 = EA(1,1); theta2 = EA(2,1); theta3 = EA(3,1); R1 = @(a)[1 0 0 ; 0 cos(a) -sin(a); 0 sin(a) cos(a)]; R2 = @(a)[cos(a) 0 sin(a) ; 0 1 0 ; -sin(a) 0 cos(a)]; R3 = @(a)[ cos(a) -sin(a) 0; sin(a) cos(a) 0;…
2. This problem has to do with the motion of a car along a straight road. The mass of the car is m, its drag resistance is Cd, the rolling resistance of the tires is pr. Choose any car that you'd like to analyze and obtain its data (cite your source). Look up typical values of rolling resistance. For the MATLAB portions, explore these questions for different values of mass of the car (which would depend on the number of passengers and luggage in the car) and the rolling resistance (which would depend on the inflation pressure of the tires) (a) Determine the differential equation if the car is traveling along a flat road. (b) Determine the traction force corresponding to speed ve. (c) (MATLAB) Determine the 0-60 mph time and distance. (d) (MATLAB) Determine the velocity and distance as a function of time if the car is to be started from rest and is supplied with the tractive force for 30 mph. (e) (MATLAB) If the car is travelling at a steady speed 30 mph and it's to be sped up to 60…
For the mechanical system shown in Fig-1, u₁, u₂ are the inputs and y₁, y2 are the outputs YI Y Y2Y k₁ mi UI U2 + m2 Fig-1 a) Write the differential equations that model this system b) Find a state space representation of the system.
lail - Ahmed Amro Hussein Ali A x n Course: EN7919-Thermodynamic x Homework Problerns(First Law)_S x noodle/pluginfile.php/168549/mod_resource/content/1/Homework%20Problems%28First%20Law%29_SOLUTIONS.pdf UTIONS.pdf 4 / 4 100% Problem-4: When a system is taken from a state-a to a state-b, the figure along path a-c-b, 84 kJ of heat flow into the system, and the system does 32 kJ of work. (i) How much will the heat that flows into the system along the path a-d-b be, if the work done is 10.5 kJ? (Answer: 62.5 kJ) (ii) When the system is returned from b to a along the curved path, the work done on the system is 21 kJ. Does the system absorb or liberate heat, and how much? (Answer:-73 k]) (iii) If Ua = 0 andU, = 42kJ , find the heat absorbed in the processes ad and db. (Answer: 52.5 kJ, 10 kJ)
You are given a linear resonant actuator used for haptic vibration cues in phones - a device that might produce the vibration that happens when you get a notification. A basic model is shown on the left. For this problem, you'll need to derive the EOMS for the system (it will be a second order system) and then put it into a number of different system representation forms. Your tasks: karm Carm • I1 = Act • X2 = *1 • I3 = IP Actuator electromagnetic force Fact • I4 = 3 • U = FAct mp Fact kact Cact Xp mact Xact CHALOS CURRENT CONDUCTING PRECISION MICRODRIVES PRECISION HAPTIC™ NOVING MASS No 8 NEOUTMUN FLOCCUT BAGNET 0:0 AND VOICECORIS Z-AXIS LINEAR RESONANT ACTUATOR Credit Precision Microdrives. Ltd. FLYING LEADS FLEX CIRCENT NEOUT MALAET SELFDESVE CASA VERATING BASS ASSEMBLY A. Using Newton's Laws of Motion, derive equations of motion for the system using the variable names given in the figure on the left…
A velocity of a vehicle is required to be controlled and maintained constant even if there are disturbances because of wind, or road surface variations. The forces that are applied on the vehicle are the engine force (u), damping/resistive force (b*v) that opposing the motion, and inertial force (m*a). A simplified model is shown in the free body diagram below. From the free body diagram, the ordinary differential equation of the vehicle is: m * dv(t)/ dt + bv(t) = u (t) Where: v (m/s) is the velocity of the vehicle, b [Ns/m] is the damping coefficient, m [kg] is the vehicle mass, u [N] is the engine force. Question: Assume that the vehicle initially starts from zero velocity and zero acceleration. Then, (Note that the velocity (v) is the output and the force (w) is the input to the system): A. Use Laplace transform of the differential equation to determine the transfer function of the system.

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