CONTROL SYSTEMS ENGINEERING
7th Edition
ISBN: 9781119185666
Author: NISE
Publisher: WILEY
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Chapter 4, Problem 43P
To determine
The value of
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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 4 Solutions
CONTROL SYSTEMS ENGINEERING
Ch. 4 - Prob. 1RQCh. 4 - What does the performance specification for a...Ch. 4 - Prob. 3RQCh. 4 - In a system with an input and an output, what...Ch. 4 - Prob. 5RQCh. 4 - Prob. 6RQCh. 4 - 7. What is the difference between the natural...Ch. 4 - Prob. 8RQCh. 4 - Prob. 9RQCh. 4 - Prob. 10RQ
Ch. 4 - List five specifications for a second-order...Ch. 4 - Prob. 12RQCh. 4 - What pole locations characterize (1) the...Ch. 4 - Prob. 14RQCh. 4 - How can you justify pole-zero cancellation?Ch. 4 - Prob. 16RQCh. 4 - 17. What is the relationship between , which...Ch. 4 - Name a major advantage of using time-domain...Ch. 4 - Prob. 19RQCh. 4 - What three pieces of information must be given in...Ch. 4 - 21. How can the poles of a system be found from...Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - MATIAB ML 3. Plot the step responses for Problem 2...Ch. 4 - Find the capacitor voltage in the network shown in...Ch. 4 - For the system shown in Figure P4.3, (a) find an...Ch. 4 - Prob. 8PCh. 4 - MATLAB ML 9. Use MATLAB to find the poles of...Ch. 4 - Find the transfer function and poles of the system...Ch. 4 - MATLAB ML 11. Repeat Problem 10 using MATLAB....Ch. 4 - Write the general form of the capacitor voltage...Ch. 4 - Solve for x(t) in the system shown in Figure P4.5...Ch. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Calculate the exact response of each system of...Ch. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - For each of the second-order systems that follow,...Ch. 4 - MATLAB ML 21. Repeat Problem 20 using MATLAB. Have...Ch. 4 - GUI Tool GUIT
22. Use MATLAB’s LTI Viewer and...Ch. 4 - Prob. 23PCh. 4 - Find the transfer function of a second-order...Ch. 4 - For the system shown in Figure P4.7, do the...Ch. 4 - For the system shown in Figure P4.8, a step torque...Ch. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - State Space SS 38. A system is represented by the...Ch. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - State Space SS 41. Given the following system...Ch. 4 - State Space SS 42. Solve the following state...Ch. 4 - Prob. 43PCh. 4 - Prob. 44PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - A MOEMS (optical MEMS) is a MEMS (Micro...Ch. 4 - Prob. 56PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Prob. 63PCh. 4 - Prob. 67PCh. 4 - Figure P4.l6 shows the step response of an...Ch. 4 - Figure P4. I 7 shows the free-body diagrams for...Ch. 4 - Find an equation that relates 2% settling time to...Ch. 4 - Prob. 74PCh. 4 - Prob. 75PCh. 4 - 76. Find J and K in the rotational system shown in...Ch. 4 - Given the system shown in Figure P4.22, find the...Ch. 4 - Prob. 78PCh. 4 - Find M and K, shown in the system of Figure P4.24,...Ch. 4 - If vi(t) is a step voltage in the network shown in...Ch. 4 - Prob. 81PCh. 4 - Prob. 82PCh. 4 - For the circuit shown in Figure P4.26, find the...Ch. 4 - Prob. 84PCh. 4 - Prob. 86P
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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
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- 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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Ch 2 - 2.2.2 Forced Undamped Oscillation; Author: Benjamin Drew;https://www.youtube.com/watch?v=6Tb7Rx-bCWE;License: Standard youtube license