CONTROL SYSTEMS ENGINEERING
7th Edition
ISBN: 9781119185666
Author: NISE
Publisher: WILEY
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Chapter 3, Problem 10RQ
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What is meant by linear independence?
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1 - Clearly identify the system and its mass and energy exchanges between each system and its surroundings by drawing a box to represent the system boundary, and showing the exchanges by input and output arrows. You may want to search and check the systems on the Internet in case you are not familiar with their operations.
A pot with boiling water on a gas stove
A domestic electric water heater
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You just need to draw and put arrows on the first part a b and c
7. A distributed load
w(x) = 4x1/3
acts on the beam AB shown in Figure 7, where x is measured in meters and w is in kN/m. The
length of the beam is L = 4 m. Find the moment of the resultant force about the point B.
w(x) per unit length
L
Figure 7
B
4. The press in Figure 4 is used to crush a small rock at E. The press comprises three links ABC,
CDE and BG, pinned to each other at B and C, and to the ground at D and G. Sketch free-body
diagrams of each component and hence determine the force exerted on the rock when a vertical
force F = 400 N is applied at A.
210
80
80
C
F
200
B
80
E
60%
-O-D
G
All dimensions in mm.
Figure 4
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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- 2. Figure 2 shows a device for lifting bricks and concrete blocks. It comprises two compo- nents ABC and BD, with a frictionless pin at B. Determine the minimum coefficient of friction required at A and D if the device is to work satisfactorily. W all dimensions in inches Figure 2 Darrow_forward1. The shaft AD in Figure 1 supports two pulleys at B and C of radius 200 mm and 250 mm respectively. The shaft is supported in frictionless bearings at A and D and is rotating clockwise (when viewed from the right) at a constant speed of 300 rpm. Only bearing A can support thrust. The tensions T₁ = 200 N, T₂ = 400 N, and T3 = 300 N. The distances AB = 120 mm, BC = 150 mm, and CD120 mm. Find the tension 74 and the reaction forces at the bearings. A T fo Figure 1arrow_forward5. Figure 5 shows a two-dimensional idealization of the front suspension system for a car. During cornering, the road exerts a vertical force of 5 kN and a leftward horizontal force of 1.2 kN on the tire, which is of 510 mm diameter. Draw free-body diagrams of each component and determine the forces transmitted between them. 250 A -320 B 170 D 170 -220-220- all dimensions in mm. Figure 5arrow_forward
- 8. The force F in Figure 8 is 120 lb and the angle 0 = 25°. Find the axial force N, the shear force V and the bending moment M at the point K which is midway between B and C and illustrate their directions on a sketch of the segment KCD. E -0 B K అ D H 7 A- all dimensions in inches Figure 8 Ꮎ G Farrow_forward6. Determine the coordinates x, y of the centroid of the area shaded in Figure 6. y y=x³ Figure 6 3arrow_forward3. Use the method of sections to determine the forces in the members BD, CD, CE in the struc- ture of Figure 3. A B D 4 kN 6 kN all dimensions in meters. Figure 3arrow_forward
- A pipeline engineer is considering alternative natural gas pipeline routings. The first route is mostly over land and the second is primarily undersea. Both pipelines will need some valve and fitting replacements in year 25. Cost data for each route is shown in Table P2.21. Notice that the undersea route has a higher initial cost due to higher installation costs and extra corrosion protection for the pipeline. However, the undersea route has cheaper security and maintenance costs which substantially reduces annual costs. The MARR for the project is 15%. Determine which route should be pursued based on a present worth analysis.arrow_forwardThe state of stress at a point is σ = -4.00 kpsi, σy Tyz = 8.000 kpsi, and T₂ = -14.00 kpsi. What is the maximum shear stress for this case? The maximum shear stress is kpsi. = 16.00 kpsi, σ = -14.00 kpsi, Try = 11.00 kpsi,arrow_forwardThe initial cost of a proposed heat recovery system is $375,000. The annual operation andmaintenance costs are projected to be $12,000. The salvage value of the system at the end of itsuseful life (projected to be 30 years) is $60,000. The annual savings in fuel costs resulting fromthis system are estimated to be $55,000 per year.a. Assuming annual compounding, determine the rate of return for this heat recovery system.b. If management has set the MARR to be 15% for a heat recovery system like this, what is themaximum initial cost that can be spent on the system (assuming that all other costs and incomesare the same)?arrow_forward
- The initial cost of a machine for a production facility is $225,000. The machine is expected tolast for 10 years with no salvage value. The company’s tax rate is 49% and SLD is used todepreciate the machine. For this type of depreciation, the tax life of the machine is considered 8years and its salvage value is $5,000. The after-tax rate of return is 14.3%. Determine the uniformannual before-tax cash flow.arrow_forwardThree alternatives are being considered for an air cleaning system. All three systems have a lifeof 10 years with no salvage value. System A has an initial cost of $29,000. During the first fiveyears of operation, the annual costs to operate system A are $5,000. During the second five years,the annual cost of system A increases to $16,000. System B has an initial cost of $43,000. Theannual cost to operate system B is $4,000, however, after the first year, this cost increases by$1,600 per year. System C has an initial cost of $58,000 with an annual cost of $2,400. System Crequires two upgrades: one during year 4 which costs $6,000, and the other during year 8 whichcosts $3,000. The MARR for this project is 17%. Determine which air cleaning system should beinstalled based on an economic analysis.arrow_forwardShow all work as much as you can and box out answersarrow_forward
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