EBK SYSTEM DYNAMICS
3rd Edition
ISBN: 8220100254963
Author: Palm
Publisher: MCG
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Chapter 5, Problem 5.25P
Use MATLAB to obtain a state-variable model for the following transfer functions.
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1. Four masses A, B, C and D are attached to a shaft and revolve in the same plane. The masses are 12
kg. 10 kg. 18 kg and 15 kg respectively and their radii of rotations are 40 mm, 50 mm, 60 mm and
30 mm. The angular position of the masses B, C and D are 60°, 135° and 270 from the mass A.
Find the magnitude and position of the balancing mass at a radius of 100 mm.
[Ans. 7.56 kg: 87 clockwise from A]
3. The structure in Figure 3 is loaded by a horizontal force P = 2.4 kN at C. The roller at E is
frictionless. Find the axial force N, the shear force V and the bending moment M at a section
just above the pin B in the member ABC and illustrate their directions on a sketch of the segment
AB.
B
P
D
A
65°
65°
E
all dimensions in meters
Figure 3
4. The distributed load in Figure 4 varies linearly from 3wo per unit length at A to wo per unit
length at B and the beam is built in at A. Find expressions for the shear force V and the bending
moment M as functions of x.
3W0
Wo
A
L
Figure 4
2
B
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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