CONTROL SYSTEMS ENGINEERING - WILEYPLUS
7th Edition
ISBN: 9781119143277
Author: NISE
Publisher: WILEY
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Chapter 12, Problem 30P
To determine
The observer variables in phase variable form and then design the observer by converting to observer canonical form.
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Students have asked these similar questions
Problem 5 (Optional, extra 6 points)
A 6-lb homogeneous disk of radius 3 in. spins as shown at the constant rate w₁ = 60 rad/s. The disk
is supported by the fork-ended rod AB, which is welded to the vertical shaft CBD. The system is
at rest when a couple Mo= (0.25ft-lb)j is applied to the shaft for 2 s and then removed. Determine
the dynamic reactions at C and D before and after the couple has been removed at 2 s.
4 in.
C
B
Mo
5 in
4 in.
Note: 2 rotating around CD induced by Mo is NOT
constant before Mo is removed.
and ₂ (two
unknowns) are related by the equation: ₂ =0+ w₂t
3 in.
Partial Answer (after Mo has been removed):
C-7.81+7.43k lb
D -7.81 7.43 lb
Problem 4.
A homogeneous disk with radius and mass m is mounted on an axle OG with length L and a
negligible mass. The axle is pivoted at the fixed-point O, and the disk is constrained to roll on a
horizontal surface. The disk rotates counterclockwise at the constant rate o₁ about the axle. (mg
must be included into your calculation)
(a). Calculate the linear velocity of G and indicate it on the figure.
(b). Calculate ₂ (constant), which is the angular velocity of the
axle OG around the vertical axis.
(c). Calculate the linear acceleration ā of G and indicate it on the
figure.
(d). Determine the force (assumed vertical) exerted by the floor on
the disk
(e). Determine the reaction at the pivot O.
1
Answers: N = mg +mr(r/L)² @² |j
mr w
IIG
C
R
L
i+
2L
=
Problem 2.
The homogeneous disk of weight W = 6 lb rotates at the constant rate co₁ = 16 rad/s with respect
to arm ABC, which is welded to a shaft DCE rotating at the constant rate 2 = 8 rad/s. Assume
the rod weight is negligible compared to the disk. Determine the dynamic reactions at D and E
(ignore mg).
Answers:
D=-7.12ĵ+4.47k lb
r-8 in.
9 in.
B
D
E=-1.822+4.47 lb
9 in.
E
12 in.
12 in.
x
Chapter 12 Solutions
CONTROL SYSTEMS ENGINEERING - WILEYPLUS
Ch. 12 - Prob. 1RQCh. 12 - Prob. 2RQCh. 12 - 3. Different signal-flow graphs can represent the...Ch. 12 - Prob. 4RQCh. 12 - Under what conditions can inspection of the...Ch. 12 - In order to determine controllability...Ch. 12 - Prob. 7RQCh. 12 - Prob. 8RQCh. 12 - Prob. 9RQCh. 12 - Prob. 10RQ
Ch. 12 - Prob. 11RQCh. 12 - Prob. 12RQCh. 12 - Prob. 13RQCh. 12 - Prob. 14RQCh. 12 - 15. In order to effect a complete observer design,...Ch. 12 - Under what conditions can inspection of the...Ch. 12 - 17. In order to determine observability...Ch. 12 - Prob. 1PCh. 12 - Prob. 2PCh. 12 - 3. The following open-loop transfer functions can...Ch. 12 - Prob. 4PCh. 12 - Prob. 5PCh. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - Prob. 10PCh. 12 - Prob. 11PCh. 12 - Prob. 12PCh. 12 - Prob. 13PCh. 12 - Prob. 14PCh. 12 - Prob. 15PCh. 12 - Repeat Problem 14 assuming that the plant is...Ch. 12 - The open-loop system of Problem 14 is represented...Ch. 12 - Prob. 18PCh. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Prob. 22PCh. 12 - Prob. 23PCh. 12 - Prob. 24PCh. 12 - Prob. 26PCh. 12 - Prob. 27PCh. 12 - Prob. 29PCh. 12 - Prob. 30PCh. 12 - Prob. 31PCh. 12 - Prob. 32PCh. 12 - Prob. 33PCh. 12 - Prob. 41PCh. 12 - Prob. 42PCh. 12 - Prob. 44P
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