Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 12, Problem 22P
To determine
The observer for the phase variable form to yield a transient response
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Q.5: (10 Marks) Select the correct answer (choose 10 only)
1. The forward whirling speed is ......... the static structure tilting speed.
(a) Less than
(b) Higher than
(c) equal to
2. The divergence between the forward and backward whirling speeds increases as:
(a) The rotating speed increase (b) the polar moment of inertia increases
(c) Both (a) and (b)
(d) do not change
3. Increasing the system natural frequency can be done by:
(a) add masses (b) adding braces and supports (c) increase damping
4. The amplitude of vibration due to external force can be reduced by:
(a) Increasing damping (b) Decreasing damping (c) Increasing mass
5. Tuned absorbers are used to:
(a) Shift the natural frequency (b) increase damping (c) Increase stiffness
6. Accelerometers sensors contains:
г
(a) Piezoelectric materials (b) Magnet and coil (c) coil only
7. Increasing the stiffness of the system causes:
(a) Less transmitted force (b) more transmitted force (c) Transmitted force does not
change
8. The…
Q.1: (15 Marks)
Find the first three natural frequencies and mode shapes of the axial and torsional
vibration for a steel shaft free at both ends, having a length of 3 m. Find the subsequent
axil motion if the shaft is subjected to the following initial conditions, given that E = 210
GPa, G=80 GPa, p = 7800 kg/m³:
f(x)=0
v(x) = {1
2.8
Q.4: (15 Marks)
A uniform rotor of mass 500 kg and diametral moment of inertia of 20 kg.m², is supported
by identical short bearings of stiffness 1 MN/m in the horizontal and vertical directions. If
the distance between the bearings is 0.6 m:
(a) What is the corresponding polar moment of inertia if the backward whirling speed is
80% of the static structure tilting natural frequency?
(b) Determine the forward whirling speed.
45.27
Chapter 12 Solutions
Control Systems Engineering
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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- University of Babylon Collage of Engineering/ Al-Musayab Department of Automobiles Mid Examination/ Stage: 3rd Subject: Theory of Vehicles Date: 14 \ 4 \2025 Time: 1.5 Hours 2025-2024 Q1: The arms of a Porter governor are 250 mm long. The upper arms are pivoted on the axis of revolution, but the lower arms are attached to a sleeve at a distance of 50 mm from the axis of rotation. The weight on the sleeve is 600 N and the weight of each ball is 80 N. Determine the equilibrium speed when the radius of rotation of the balls is 150 mm. If the friction is equivalent to a load of 25 N at the sleeve, determine the range of speed for this position. Q2: In a loaded Proell governor shown in Figure below each ball weighs 3 kg and the central sleeve weighs 25 kg. The arms are of 200 mm length and pivoted about axis displaced from the central axis of rotation by 38.5 mm, y=238 mm, x=303.5 mm, CE 85 mm, MD 142.5 mm. Determine the equilibrium speed. Fe mg E M 2 Q3: In a spring loaded Hartnell type…arrow_forwardQ.2: (15 Marks) = 1400 For the following system, determine the first natural frequency using Dunkerley's equation, Given that the disk has moment of inertia J = 2 kg.m², the shaft has G = 20 GPa, p kg/m³, polar moment of cross-sectional area of the shaft Ip = 8×108 m². 500 mm 220 mm k=200 N/m FOF m=1 kg 14.14 56.56. W слarrow_forwardQ.2: (15 Marks) = 1400 For the following system, determine the first natural frequency using Dunkerley's equation, Given that the disk has moment of inertia J = 2 kg.m², the shaft has G = 20 GPa, p kg/m³, polar moment of cross-sectional area of the shaft Ip = 8×108 m². 500 mm 220 mm k=200 N/m FOF m=1 kg 14.14 56.56. W слarrow_forward
- Q1: In Figure below, pinion A having 15 teeth is fixed to motor shaft. Za-20, Z-15, where B and C are a compound gear wheel. Wheel E is keyed to the machine shaft. Arm F rotates about the same shaft on which A is fixed and carries the compound wheel B, C. If the motor runs at 1200 rpm counter-clockwise, find (a) the speed of the machine shaft and (b) ratio of the reduction gear. C B D Q1: A compound epicyclic gear is shown diagrammatically in Figure below. The gears A, D and E are free to rotate on the axis P. The compound gear B and C rotate together on the axis Q at the end of arm F. All the gears have equal pitch. The number of external teeth on the gears A, B and C are 18, 45 and 21 respectively. The gears D and E are annular gears. The gear A rotates at 100 r.p.m. in the anticlockwise direction and the gear D rotates at 450 r.p.m. clockwise. Find the speed and direction of the arm and the gear E. D E A P F LL B Carrow_forwardCalculate the force in cable AB and the angle θ for the support system shown. Round your final answers to two decimal places.arrow_forward1.53 In the steel structure shown, a 6-mm-diameter pin is used at C and 10-mm-diameter pins are used at B and D. The ultimate shearing stress is 150 MPa at all connections, and the ultimate normal stress is 400 MPa in link BD. Knowing that a factor of safety of 3.0 is desired, determine the largest load P that can be applied at A. Note that link BD is not reinforced around the pin holes. Front view D D 6 mm 18 mm B A B Side view 160 mm 120 mm A B Top viewarrow_forward
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