EBK SYSTEM DYNAMICS
3rd Edition
ISBN: 8220100254963
Author: Palm
Publisher: MCG
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Textbook Question
Chapter 5, Problem 5.4P
Draw a block diagram for the following equation. The output is X (s); the inputs are F(s) and G(s).
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Chapter 5 Solutions
EBK SYSTEM DYNAMICS
Ch. 5 - Prob. 5.1PCh. 5 - Obtain the transfer function Xs/Fs from the block...Ch. 5 - Obtain the transfer function Xs/Fs from the block...Ch. 5 - Draw a block diagram for the following equation....Ch. 5 - Draw a block diagram for the following model. The...Ch. 5 - Referring to Figure P5.6, derive the expressions...Ch. 5 - Prob. 5.7PCh. 5 - Prob. 5.10PCh. 5 - Obtain the state model for the reduced-form model...Ch. 5 - Obtain the state model for the reduced-form model...
Ch. 5 - Prob. 5.13PCh. 5 - Obtain the state model for the transfer-function...Ch. 5 - Obtain the state model for the two-mass system...Ch. 5 - Prob. 5.16PCh. 5 - Put the following model in standard state-variable...Ch. 5 - Given the state-variable model...Ch. 5 - Given the following state-variable models, obtain...Ch. 5 - Prob. 5.20PCh. 5 - The transfer function of a certain system is...Ch. 5 - Prob. 5.22PCh. 5 - Prob. 5.23PCh. 5 - Use MATLAB to obtain a state model for the...Ch. 5 - Use MATLAB to obtain a state-variable model for...
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- 7. For the following SCARA-type robot: • Assign the coordinate frames based on the D-H representation. • Fill out the parameters table. • Write all the A matrices. • Write the UTH matrix in terms of the A matrices. x2 Parameter Table # 0-1 1-2 2-H SN 0 d Z₁ X₂ Zo a d₂ αarrow_forwardThe figure shows a function generator linkage in which the motion of rocker 2 corresponds to x and the motion of rocker 4 to the function y=f(x). Use three precision points and chebychev spacing and synthesize the linkage to generate the following function. y = 4cos (-x) 0arrow_forward03/A heating system shown in figure 1; the mathematical model of this system is written as: Ct, = q - 41 C†2 = 91 - 92 Here 91 = T-T2 91 = R1 T-To R2 Derive the transfer funetion for the system assuming q, is the input and q; is the output, and then draw the block diagram which describes the system graphically. Hint: C, C2, R1. Rz are constants. T. Outside Air inside the oven 92 R2 Figure I Tarrow_forwardQ1. A mechanical system is shown in the following figure, where external force u₁ is the input and displacement y₂ is the output. The force acting on m₂ has a linear relationship with u₁ as u₂-Au₁. • List system equations and do Laplace transform to the system equations; • Draw block diagram of the control system. (Please construct the block diagram from system equations directly, do not derive or combine the equations. Do not need to reduce it) YI Y b₁ m₁ 11 112 + m₂ wwwarrow_forwardsecondary spacecraft reference plane primary spacecraft primary orbit plane Once you fix the primary or target spacecraft (the selection of primary spacecraft is only a matter of context), the relative motion of the secondary spacecraft is governed by the following initial value problem: a" 2wy - 3w? a = fz; x (0) = *0, x' (0) = x, y" + 2wa' = fy; y (0) = Yo, Y (0) = % 2' + w? z = fa; z (0) = 20; z' (0) Where w stands for the mean angular velocity of the primary spacecraft within its orbit plane. Also, fy represents the differential acceleration on the secondary spacecraft. fz x (t) Assuming there is no external force acting on the secondary spacecraft, use Laplace Transform to determine its position y (t) in the space. Your z (t) answer will be in terms of w and the set of intial conditions. Hint: The z part of the given IVP is a second order IVP by itself. Therefore it can be solved for z using Laplace Transform. For each of the first two differential equations (from the top), begin…arrow_forwardFind the determinant of the matrix using the formulas in number 1 then check your answer with shortcut solution in number 2. Please write the answer where I can clearly read the letters and numbers. Thank you. (Sometimes your x doesn’t read as x)arrow_forward1. Find the transfer function. A = [² = ₁], B = [1] . C = [0_1], D = F2] SEST-AT Y(s) U(s) = C[sl-A] B+D X = AY + Bui V = Cx + Duarrow_forwardConsider the system shown in the figure below. Assume that when z is zero, that the spring is at its unstretched length. That is, the restoring force in the spring only develops when z, (the figure is a little misleading here). Note that z, is defined as positive to the left and zg is defined as positive downwards. Syntax notes: when entering your responses, use x[1] for z1and x2] for z2. m[1] for m1. m[2] for mg, and g for gravity. Use T for the tension in the rope. You can use the loupimagnifying glass to check that what you entered is what you intended. Kinematics The change in z is related to the change in zgsince they are part of the same string. What is the kinematic relationship between the two of them? 21- -2x(2] Kinetic Energy Write the total system kinetic energy. (ie write it in terms of both z1and zgand their velocities). Use diffio(1]t).) for ż and diffx(2]t).1) for ż KE = (12)m[1]*(difix[1]{t),f)^2+(1/2}*m[2]*(diff(x{2]{t),f)^2 Now use your kinematic relationship to write…arrow_forward3. Use the second method of frame assignment, and find the Jacobian of the following robot using the velocity propagation method (Ignore all theta related offsets): 03 02 L2 01 Please answer the question precisely and completely to use the second method of frame assignment to find the D-H table [alpha (i-1) , a (i-1) , d (i) , theta (i)], and find the jacobian matrix using the velocity propagation methodarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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