EBK SYSTEM DYNAMICS
3rd Edition
ISBN: 9780100254961
Author: Palm
Publisher: YUZU
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Chapter 2, Problem 2.49P
To determine
The inverse Laplace transform of the function
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I need help with a MATLAB code. I am trying to implement algorithm 3 and 4 as shown in the image. I am getting some size errors. Can you help me fix the code.
clc;
clear all;
% Define initial conditions and parameters
r0 = [1000, 0, 0]; % Initial position in meters
v0 = [0, 10, 0]; % Initial velocity in m/s
m0 = 1000; % Initial mass in kg
z0 = log(m0); % Initial mass logarithm
a0 = [0, 0, 1]; % Initial thrust direction in m/s^2 (thrust in z-direction)
sigma0 = 0.1; % Initial thrust magnitude divided by mass
% Initial state vector x0 = [r0, v0, z0]
x0 = [r0, v0, z0];
% Initial control input u0 = [a0, sigma0]
u0 = [a0, sigma0];
% Time span for integration
t0 = 0; % Initial time
tf = 10; % Final time
N = 100; % Number of time steps
dt = (tf - t0) / N; % Time step size
t_span = linspace(t0, tf, N); % Discretized time vector
% Solve the system of equations using ode45
[t, Y] = ode45(@(t, Y) EoMwithDiscreteMatrix(t, Y, u0, x0, t0, tf), t_span, x0);
% Compute the matrices A_k,…
Q2) Determine the thickness of weld (h) for the figure shown below. when the Su= 410 MPa
and factor of safety of 2.
COR
50
200
60
F=2000N
Please draw front, top and side view, in AutoCAD both of them
Chapter 2 Solutions
EBK SYSTEM DYNAMICS
Ch. 2 - Prob. 2.1PCh. 2 - Solve each of the following problems by direct...Ch. 2 - Solve each of the following problems by separation...Ch. 2 - Prob. 2.4PCh. 2 - Prob. 2.5PCh. 2 - Obtain the Laplace transform of the following...Ch. 2 - Obtain the Laplace transform of the function shown...Ch. 2 - Prob. 2.8PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10P
Ch. 2 - Prob. 2.11PCh. 2 - Obtain the inverse Laplace transform xt for each...Ch. 2 - Solve the following problems: 5x=7tx0=3...Ch. 2 - Solve the following: 5x+7x=0x0=4 5x+7x=15x0=0...Ch. 2 - Solve the following problems: x+10x+21x=0x0=4x0=3...Ch. 2 - Solve the following problems: x+7x+10x=20x0=5x0=3...Ch. 2 - Solve the following problems: 3x+30x+63x=5x0=x0=0...Ch. 2 - Solve the following problems where x0=x0=0 ....Ch. 2 - Invert the following transforms: 6ss+5 4s+3s+8...Ch. 2 - Invert the following transforms: 3s+2s2s+10...Ch. 2 - Prob. 2.21PCh. 2 - Compare the LCD method with equation (2.4.4) for...Ch. 2 - Prob. 2.23PCh. 2 - Prob. 2.24PCh. 2 - (a) Prove that the second-order system whose...Ch. 2 - For each of the following models, compute the time...Ch. 2 - Prob. 2.27PCh. 2 - Prob. 2.28PCh. 2 - Prob. 2.29PCh. 2 - If applicable, compute , , n , and d for the...Ch. 2 - Prob. 2.31PCh. 2 - For each of the following equations, determine the...Ch. 2 - Prob. 2.33PCh. 2 - Obtain the transfer functions Xs/Fs and Ys/Fs for...Ch. 2 - a. Obtain the transfer functions Xs/Fs and Ys/Fs...Ch. 2 - Prob. 2.36PCh. 2 - Solve the following problems for xt . Compare the...Ch. 2 - Prob. 2.38PCh. 2 - Prob. 2.39PCh. 2 - Prob. 2.40PCh. 2 - Determine the general form of the solution of the...Ch. 2 - a. Use the Laplace transform to obtain the form of...Ch. 2 - Prob. 2.43PCh. 2 - Prob. 2.44PCh. 2 - Obtain the inverse transform in the form xt=Asint+...Ch. 2 - Use the Laplace transform to solve the following...Ch. 2 - Express the oscillatory part of the solution of...Ch. 2 - Prob. 2.48PCh. 2 - Prob. 2.49PCh. 2 - Prob. 2.50PCh. 2 - Prob. 2.51PCh. 2 - Prob. 2.52PCh. 2 - Prob. 2.53PCh. 2 - 2.54 The Taylor series expansion for tan t...Ch. 2 - 2.55 Derive the initial value theorem:
Ch. 2 - Prob. 2.56PCh. 2 - Prob. 2.57PCh. 2 - Use MATLAB to obtain the inverse transform of the...Ch. 2 - Use MATLAB to obtain the inverse transform of the...Ch. 2 - Use MATLAB to solve for and plot the unit-step...Ch. 2 - Use MATLAB to solve for and plot the unit-impulse...Ch. 2 - Use MATLAB to solve for and plot the impulse...Ch. 2 - Use MATLAB to solve for and plot the response of...
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- Question 7 A well is pumped from a confined aquifer at a constant rate of 1000 gallons per minute (gpm). The following data were collected during the pumping test: . Distance from the well to the observation well (r) = 150 feet Differential drawdown (Ah) in the observation well at this distance = 2.5 feet Aquifer properties: Transmissivity (T) = 25,000 gpd/ft • Storativity (S)- 0.0005 (dimensionless) Pumping time (t) = 5 hours Watch your units !! Using the above information, calculate the drawdown (h) in feet in the observation well at a distance of 150 feet after 5 hours of pumping. (Use the powerpoint slides for approximations for the well function W(u).arrow_forwardQu 2 Calcium oxide (CaO) a white, caustic, alkaline solid that reacts vigorously with water to produce calcium hydroxide, releasing heat in the process. It is used in various industrial applications, including cement production and water treatment. FA= 41{0 The ionic radii of the ions are: TCa2+= 0.100 nm and roz-= 0.140 nm. On the basis of this information answer the following questions: 1. What is the type of bonding that exists in CaO crystal? 2.Calculate attractive (Fs) force in [N] between a Ca'* iron and O* ifon that is separated by an equilibrium distance ro. Calculate repulsive (FR) force in [N] between a Ca?* iron and O? iron that is separated by an equilibrium distance ro. What is the magnitude of the net force FN?arrow_forwardShow work if any equations or calculations are used.What is the main alloying element and carbon percentage of SAE-AISI 4621 Steel?arrow_forward
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