33.2solve using MATLAB. do not use syms. Objectives: Convert a second order ODE into a system of two first order ODES. Setup and solve this system in Matlab.Consider the ODE for a pendulum. Assume g=-9.81 and L=0.6.d²0d²² +0=0dodt = y2 = velocity.1. Write this ODE as a system of equations, where2. For initial conditions at t=0, assume 0 = 0.1 and y₂ = 0. Assume a step size of 0.1 with values of time from 0 to 4 seconds.3. Solve the system of ODEs using ode45() and plot the output for both velocity (v) and angle (theta).4. If you have extra time consider how this approach might be expanded to not need the small angle approximation ....

Sure, I can help you with that.The system of equations is:dx/dt = y dy/dt = -a*y - b*u where:x is…

Answered: Objectives: Convert a second order ODE…

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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The governing equation of motion for a base motion system is given by (assume the units are Newton) mä(t)+ci(t)+kx(t) =cY@, cos(@,t) +kY sin(@t) %3D Given that m = 180 kg, c = 30 kg/s, Y = 0.02 m, and о, — 3.5 rad/s %3| 1. Use Excel or Matlab to find the largest value of the stiffness, k that makes the transmissibility ratio less than 0.85 2. Using the value of the stiffness obtained in part (1), determine the transmitted force to the base motion system using Matlab or Excel. 3. Display and discuss your results.
Convert the following 4th order ODE into a system of four first order ODES of the form dy/dt f(t,y). Remember to account for initial conditions in the system you create. 4y"'(t) – 8y"' (t) + 2y"(t) + 16y'(t) – 4y(t) = 20e2t y(0) = 3, y'(0) = 4, y"(0) = 7 and y"'(0) = = 13 2:36 PM 73°F Mostly cloudy 3/4/2022
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please solve it in clear note: The fifth section solved it by using MATLAB i need all qusestion solved 1-9 For the mass spring damper system shown in the figure, assume that m = 0.25 kg, k= 2500 N/m, and c = 10 N.s/m. The values of force measured at 0.05-second intervals in one cycle are given below. 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 time F(t) time 12 14 44 19 33 34 12 22 0.60 25 0.45 0.50 0.55 0.65 0.70 0.75 0.80 0.85 Force 32 11 18 30 49 40 35 21 time 0.90 0.95 F(t) 11 m +x F(1) 1- Find the equation of motion. 2- Find the homogenous solution. 3- If we excite the system with initial displacement and velocity as 5 mm and 0.2 m/s respectively, plot the response of the free vibration system. 4- Use the generated plot in part 3 to verify the value of the damping constant, c. 5- Find the steady state solution (only particular solution) for the forced vibration system. Take number of terms in your Fourier series terms from this range [ 30 – 55). 6- Plot the force in the table, and the…
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.
P2. Piecewise functions are sometimes useful when the relationship between a dependent and independent variable cannot be adequately represented by a single equation. For example, the velocity of a rocket might be described by 10t² - 5t 624-3 v(t)=36r+12(t-16)² 2136-(-26) 0 0≤ ≤8 8 26 otherwise Develop a Python function to compute v with an input of t. Then, add a script that uses the function to generate a plot a v versus r for t= -5 to 50.
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A mass of 1.25 kg stretches a spring 0.06 m. The mass is in a medium that exerts a viscous resistance of 66 N when the mass has a velocity of m 6 The viscous resistance is proportional to the speed of the object. S Suppose the object is displaced an additional 0.03 m and released. Find an function to express the object's displacement from the spring's natural position, in m after t seconds. Let positive displacements m indicate a stretched spring, and use 9.8 as the acceleration due to 82 gravity. u(t) = e-5.5t0.03 cos (11.536t) + 0.0143 sin(11.536t) × %3D
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.
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): 1. What is the order of this system?
Response using matlab.
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

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