aero 371 lab 3

Please solve the following by hand and without the use of AI. Thank you!

Solve the following problems using MATLAB. Ensure answers are accurate and well explained so that I may learn how to solve the problems. Dont use AI please. Thank You!

* if possible, kindly the solution isnt handwriting ( text through keyboard ) is much appreciated and readable* Course: EE 350 ( System Dynamics and control ) Major: electrical engineering

Please help me Matlab

1

How would I plot the aircraft pitch angle response to elevator step inputs of -10, and +10 degrees for a duration of five seconds by implementing short period approximation using Simulink. What would the block diagram/ simulink layout roughly look like?

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 convert orbital elements to the state vector in MATLAB. My orbital elements are as follows a = 6731; ecc = 0.01; inc = 142.461; raan = 155.9325; argp = 321.0439; f = 145.8291;   After transforming them I get : x = 3898.6; y = 3898.6; z = 3957; vx = 5.9771; vy = -4.5575; vz = -1.3245;   I am wondering if the transformation is done correctly. Because x, y, and z are defined from earth's radius to the spacecraft, right? If that is the case then x, y, and z should have values greater than the earth's radius. Is my assumption correct?

answer completely please

Must get answer provided below

Just the handwritten work please. I do not need matlab

Please also draw the FBDs

Look up the Arduino Mega 2560. Document the steps how to work with the Arduino in Matlab and Simulink. Make a simulink program turning on the LED on the board for 10sec. Explain your program, comment on your findings and explain how to test it on the actual hardware.

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…

Please follow the instructions and the requirements according to the pictures above and I kinda need the solution quickly. The language of the code is in Matlab, thank you in advance.

2. A model for an airplane's pitch loop is shown below. Find the range of K that will keep the system stable. Can the system ever be unstable for positive values of K? Controller Aircraft dynamics Commanded pitch angle + K(s + 1) Pitch angle s + 10 s2 + 0.6s + 9 (s + 4.85) 1 Gyro

Here we have a very simple one dimensional model of a stroke rehabili- tation patient supported by a robot. Often, when you have a controlled electromechanical system like a robot and a human working together, you want to separate them by a compliant mechanism (spring with stiffness k) so that the robot has some "give". Otherwise, if there are errors in the control of the robot it can be very uncomfortable for a patient. The spring has zero force when x, = xp = 0. The patient provides viscous damping with damping Xp coefficient c. Fp + C Patient mp k Xp Robot Arm Xr Figure 2: Schematic diagram of a very simplified model of a patient pushing against a robot. The robot supports the patient via a spring for safety. In this case we want to eventually determine the force that the patient is exerting on the robot as a function of time, so we'll do some steps towards that goal. Your tasks: A Draw the free body diagram for the patient mass (mass mp). B Write the equations of motion for the…

I want to run the SGP4 propagator for the ISS (ID = 25544) I got from spacetrack.org in MATLAB. I don't know where to get the inputs of the function. Where do I get the inFile and outFile that is mentioned in the following function. % Purpose: % This program shows how a Matlab program can call the Astrodynamic Standard libraries to propagate % satellites to the requested time using SGP4 method. % % The program reads in user's input and output files. The program generates an % ephemeris of position and velocity for each satellite read in. In addition, the program % also generates other sets of orbital elements such as osculating Keplerian elements, % mean Keplerian elements, latitude/longitude/height/pos, and nodal period/apogee/perigee/pos. % Totally, the program prints results to five different output files. % % % Usage: Sgp4Prop(inFile, outFile) % inFile : File contains TLEs and 6P-Card (which controls start, stop times and step size) % outFile : Base name for five output files   %…

dont do the simscape piece

Problem 1 (15 points) (Core Course Outcome 5)/MatlabGrader Write a function mySecond Derivative Order 3 that calculates the second derivative d²y/dx² of a data set (x, y) with at least third order accuracy at each data point. The data is equidistant in x with spacing h. The function input shall be ⚫y: one-dimensional column vector of y values ⚫h: scalar value of spacing h The function output shall be • d2y: column vector of the same size as y containing d²y/dx² Calculate d²y/dx² using only the following formulas that use the nomenclature of Table 8-1 and the lecture notes, but are different from the formulas listed there: f" (xi) 164f(xi) — 465f(xi+1) + 460ƒ (xi+2) − 170ƒ (xi+3) + 11f (xi+5) + O(h³) = 60h2 56f(xi−1) − 105f(xi) +40f(xi+1) + 10f(xi+2) − f(x+4) + O(h³) 60h² −5f(xi−2) +80f(xi−1) − 150f(xi) + 80f(xi+1) − 5ƒ(xi+2) (1) f"(xi) = (2) f"(xi) = +0(h) (3) 60h2 f"(xi) -2f(x-4)+5f(xi-3)+50f(xi-1) — 110f(xi) +57f(xi+1) = +0(h³) (4) 60h² f"(xi) = 57f(x-5) 230f(xi-4) + 290 f (xi-3)-235…

Please do this in MATLAB

For the following question, I just want to know what frame is the Jacobian matrix in. I derived the J matrix. Lets assume that I used the state vector of the ISS. Does that mean that the J matrix is in ECI frame? Since the question asked to ignore precession, nutation, and polar motion, I assume we are not in J2000. The question also says use explicitly the earth-fixed station vector R, but I think I used that to find the mapping matrix H.    Compute analytically the Jacobian of the two-body motion and the measurement mappingmatrix H when measuring topocentric right ascension and declination of a satellite. Useexplicitly the earth-fixed station vector R, and the state of the satellite (position and velocity).You may neglect precession, nutation and polar motion. You may assume light travel time,aberration and refraction has already been corrected for. Show intermediate steps.

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.

I created an orbit of the ISS in MATLAB. I want to validate my data. How and where can I get actual data of the ISS orbit? I would need the time history of the position vectors?

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.