EBK SYSTEM DYNAMICS
3rd Edition
ISBN: 8220100254963
Author: Palm
Publisher: MCG
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Chapter 5, Problem 5.17P
Put the following model in standard state-variable form and obtain the expressions for the matrices A, B, C, and D. The output ¡s x.
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Find the determinant of the matrix using the formulas in number 1 then check your answer with shortcut solution in number 2.
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Use matlab to solve the question
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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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- Consider 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_forwardPleasearrow_forward2. In the following electrical circuit system, where R is the resistance, L is the inductance, and C is the capacitance. The input variable is the applied voltage the output variable is the voltage Find the transfer function of the 11 L ic İR OR 10arrow_forward
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- The values of p and h which renders (makes) the following set of equations dynamically and statically decoupled are, respectively. k,+k2 5 p+4 x1 = 0, X2 7 h+1 + [7h+1 J+e 5 p+4 J+e h= -0.214 and p = -1.76 h = -0.143 and p= -0.8 h = -0.281 and p= -1.2 h = -0.081 and p = -0.536arrow_forwardI need detailed solution in handwritten format. Don't use chatgptarrow_forward2.9. The following mechanical system may be used to measure acceleration. Construct the block diagram model and find the transfer functions and . FF K, K2 X2 FIGURE 2-9arrow_forward
- پشم را 2 Pk k Düngür 3 F4 Lo S Find the face FL that develops in the system. Show derivation (using matrix analysis) in a step-by-step fashion.arrow_forward200 OOOD O Subject Date: Q1/Find the domain P the function 2. Y3DIn(2x+X-6-6)arrow_forwardFind the transformation matrix for the following transformations: 1) Rotate 45° about Xo-axis. (Xo, Yo, Zo) → (X₁, Y₁, Z₁); 2) Followed by a rotation of 90° about Xo-axis. (X₁, Y₁, Z₁)→ (X₂, Y₂, Z₂); 3) Followed by a rotation of 60° about Y₂-axis. (X₂, X2, Z2)→ (X3, Y, Z3); 4) Followed by a rotation of 60° about Z₂-axis. (X3, Y3, Z3) → (X, Y4, Z4). Note: give final answer in matrix multiplication form, no need to write out the elements of the matrices or multiply the matrices out. URALLY AND AFICIALLY LGarrow_forward
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