CONTROL SYSTEMS ENGINEERING
7th Edition
ISBN: 9781119185666
Author: NISE
Publisher: WILEY
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Chapter 3, Problem 13RQ
If an electrical network has three energy-storage elements, is it possible to have a state-space representation with more than three state variables? Explain.
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Problem 5: Three-Force Equilibrium
A structural connection at point O is in equilibrium under the
action of three forces.
•
•
.
Member A applies a force of 9 kN vertically upward along
the y-axis.
Member B applies an unknown force F at the angle shown.
Member C applies an unknown force T along its length at
an angle shown.
Determine the magnitudes of forces F and T required for
equilibrium, assuming 0 = 90°
y
9 kN
A
Problem 19: Determine the force in members HG, HE, and DE of the truss, and state if the
members are in tension or compression.
4 ft
K
J
I
H
G
B
C
D
E
F
-3 ft
-3 ft 3 ft 3 ft 3 ft-
1500 lb 1500 lb 1500 lb 1500 lb 1500 lb
Problem 14: Determine the reactions at the pin A, and the tension in cord. Neglect the
thickness of the beam.
F1=26kN
F2
13
12
80°
-2m
3m
Chapter 3 Solutions
CONTROL SYSTEMS ENGINEERING
Ch. 3 - Prob. 1RQCh. 3 - State an advantage of the transfer function...Ch. 3 - Define state variables.Ch. 3 - Define state.Ch. 3 - Define state vector.Ch. 3 - Define state space.Ch. 3 - What is required to represent a system in state...Ch. 3 - 8. An eighth-order system would be represented in...Ch. 3 - If the state equations are a system of first-order...Ch. 3 - Prob. 10RQ
Ch. 3 - What factors influence the choice of state...Ch. 3 - What is a convenient choice of state variables for...Ch. 3 - If an electrical network has three energy-storage...Ch. 3 - Prob. 14RQCh. 3 - Prob. 1PCh. 3 - Represent the electrical network shown in Figure...Ch. 3 - Prob. 3PCh. 3 - Represent the system shown in Figure P3.4 in state...Ch. 3 - Represent the rotational mechanical system shown...Ch. 3 - Represent the system shown in Figure P3.7 in state...Ch. 3 - 8. Show that the system of Figure 3.7 in the text...Ch. 3 - Find the state-space representation in...Ch. 3 - MATLAB ML 10. Repeat Problem 9 using MATLAB....Ch. 3 - For each system shown in Figure P3.9, write the...Ch. 3 - MATLAB ML
12. Repeat Problem 11 using MATLAB....Ch. 3 - 13. Represent the following transfer function in...Ch. 3 - Find the transfer function G(s) = Y(s)/R(s) for...Ch. 3 - MATLAB ML
15. Use MATLAB to find the transfer...Ch. 3 - 17. A missile in flight, as shown in Figure P3.10,...Ch. 3 - Given the dc servomotor and load shown in Figure...Ch. 3 - Prob. 20PCh. 3 - Prob. 23PCh. 3 - Experiments to identify precision grip dynamics...Ch. 3 - State-space representations are, in general, not...Ch. 3 - Figure P3.16 shows a schematic description of the...Ch. 3 - Prob. 28PCh. 3 - A single-pole oil cylinder valve contains a spool...Ch. 3 - Figure P3.17 shows a free-body diagram of an...Ch. 3 - 33. Parabolic trough collector. A transfer...
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- Problem 22: Determine the force in members GF, FC, and CD of the bridge truss and state if the members are in tension or compression. F 15 ft B D -40 ft 40 ft -40 ft 40 ft- 5 k 10 k 15 k 30 ft Earrow_forwardProblem 20: Determine the force in members BC, HC, and HG. After the truss is sectioned use a single equation of equilibrium for the calculation of each force. State if the members are in tension or compression. 5 kN 4 kN 4 kN 3 kN 2 kN B D E F 3 m -5 m- -5 m- 5 m 5 m-arrow_forwardAn experimental setup is being built to study the flow in a large water main (i.e., a large pipe). The water main is expected to convey a discharge (Qp). The experimental tube will be built at a length scale of 1/20 of the actual water main. After building the experimental setup, the pressure drop per unit length in the model tube (APm/Lm) is measured. Problem (19): Given the value of Qp [m³/s], and assuming Reynolds number similitude between the water main and experimental tube, calculate the flow rate in the model tube (Qm) in [lit/s]. = 30.015 m^3/sarrow_forward
- Problem 11: The lamp has a weight of 15 lb and is supported by the six cords connected together as shown. Determine the tension in each cord and the angle 0 for equilibrium. Cord BC is horizontal. E 30° B 60° Aarrow_forwardProblem 10: If the bucket weighs 50 lb, determine the tension developed in each of the wires. B $30° 5 E D 130°arrow_forwardProblem 3: Four-Force Equilibrium Knowing the forces in members A and C, determine the force of B and D, assuming the system is in equilibrium. A structural joint is held in equilibrium by four forces acting along different members. • Member A applies a force of 4 kN at an angle of 60° above the positive x-axis. • Member C applies a force of 2 kN horizontally to the left along the x-axis. • Member B applies an unknown force along the horizontal direction. • Member D applies an unknown force at an angle of 45° above the negative x-axis. Determine the forces in members B and D, assuming the system is in static equilibrium. 4 kN 2 kN C 45° A D 60° FB Barrow_forward
- Problem 18: Determine the force in each member of the truss. State if the members are in tension or compression. 3 ft 3 ft 3 ft B D 4 ft 4 ft. 130 lb Earrow_forwardProblem 16: Determine the force in each of the member of the truss and state if the members are in tension or compression. Set P₁ = 10 kN, P2 = 8 kN. 2 m G F E A A 1 m B 2 m 1 m P1 Darrow_forwardProblem 7: Determine the force in each cord for equilibrium of the 60-kg bucket. D E 4 m 4 m B 3 m- 3 m- 3 m.arrow_forward
- Problem 15: Determine the reactions at the pin A and the tension in cord BC. Set F = 40 kN. Neglect the thickness of the beam. 26 kN F 13 12 -2 m 4 m B 4arrow_forwardProblem 21: Determine the force in members EF, CF, and BC and state if the members are in tension or compression. 1.5 m 4 kN E D 8 kN B 2 m 2 marrow_forwardProblem 8: If the cords suspend the two buckets in the equilibrium position, determine the weight of bucket B. Bucket A has a weight of 60 lb. E 65° C 20° 40° F B 20° Aarrow_forward
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