EBK SYSTEM DYNAMICS
3rd Edition
ISBN: 8220100254963
Author: Palm
Publisher: MCG
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Chapter 2, Problem 2.21P
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To determine
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The response
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for the values: M1=0.41m, M2=1.8m, M3=0.56m, please account for these in the equations. also please ensure that the final answer is the flow rate in litres per second for each part. please use bernoullis equation where needed if an empirical solutions i srequired. also The solutions should include, but not be limited to, the equations used tosolve the problems, the charts used to solve the problems, detailed working,choice of variables, the control volume considered, justification anddiscussion of results etc.If determining the friction factor, the use of both Moody chart and empiricalequations should be used to verify the validity of the value
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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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- Problem 2: An athlete, starting from rest, pulls handle A to the left with a constant force of P = 150 [N]. Knowing that after the handle A has been pulled 0.5 [m], its velocity is 5 [m/s] to the left, determine: a) A position constraint equation using the given coordinate system. b) An acceleration constraint equation. c) The acceleration of A using kinematics equations. d) The acceleration of B using your constraint equation. e) How much weight (magnitude) the athlete is lifting in pounds using Newton's 2nd Law. You must draw a FBD and KD of the circled assembly, assuming the pulleys are massless. Note: 1 [lbf] = 4.448 [N]. ХА Увarrow_forwardProblem 1: For each of the following images, draw a complete FBD and KD for the specified objects. Then write the equations of motion using variables for all unknowns (e.g., mass, friction coefficient, etc.), plugging in kinematic expressions and simplifying where appropriate. Assume motion in all cases, so any friction would be kinetic. M (a) Blocks A & B (Be careful with acceleration of B relative to accelerating block A) 30° (b) Block A being pulled up my motor M (use rotated rectangular coordinate system) 20° (c) Ball at C, top of swing (use path coordinates) (d) Parasailer/Person (use polar coordinates)arrow_forwardwhere M1=0.41m, M2=1.8m, M3=0.56m, please use bernoulis equation where necessary and The solutions should include, but not be limited to, the equations used tosolve the problems, the charts used to solve the problems, detailed working,choice of variables, the control volume considered, justification anddiscussion of results etc.If determining the friction factor, the use of both Moody chart and empiricalequations should be used to verify the validity of the value.arrow_forward
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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,…arrow_forwardQ2) 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=2000Narrow_forwardPlease draw front, top and side view, in AutoCAD both of themarrow_forward
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