CONTROL SYSTEMS ENGINEERING - WILEYPLUS
7th Edition
ISBN: 9781119143277
Author: NISE
Publisher: WILEY
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Chapter 6, Problem 8P
Symbolic Math SM
8. Use MATLAB and the Symbolic Math Toolbox to generate a Routh table to solve Problem 3.
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1.3 (A). Define the terms shear stress
and shear strain, illustrating your
answer by means of a simple sketch.
Two circular bars, one of brass and
the other of steel, are to be loaded by a
shear load of 30 kN. Determine the
necessary diameter of the bars (a) in
single shear, (b) in double shear, if the
shear stress in the two materials must
not
exceed 50 MN/m2 and 100 MN/
mZ respectively. C27.6, 19.5, 19.5,
13.8mm.l
11
1.4 (A). Two forkend pieces are to be
joined together by a single steel pin of
25mm diameter and they are
required to transmit 50 kN. Determine
the minimum cross-sectional area
of material required in one branch of
either
fork if the stress in the fork material is
not to exceed 180 MN/m2. What will be
the maximum shear stress in the pin?
C1.39 x 10e4mZ; 50.9MN/mZ.]
10:41
1.2 (A). A steel tube, 25 mm outside
diameter and 12mm inside diameter,
cames an axial tensile load of 40 kN.
What will be the stress in the bar? What
further increase in load is possible if
the stress in the bar is limited to
225 MN/mZ? [lo6 MN/m3; 45 kN.1
Chapter 6 Solutions
CONTROL SYSTEMS ENGINEERING - WILEYPLUS
Ch. 6 - Prob. 1RQCh. 6 - Prob. 2RQCh. 6 - What would happen to a physical system chat...Ch. 6 - Why are marginally stable systems considered...Ch. 6 - Prob. 5RQCh. 6 - Prob. 6RQCh. 6 - Prob. 7RQCh. 6 - Prob. 8RQCh. 6 - Prob. 9RQCh. 6 - Why do we sometimes multiply a row of a Routh...
Ch. 6 - Prob. 11RQCh. 6 - Prob. 12RQCh. 6 - 13. Does the presence of an entire row of zeros...Ch. 6 - Prob. 14RQCh. 6 - Prob. 15RQCh. 6 - Prob. 16RQCh. 6 - Tell how many roots of the following polynomial...Ch. 6 - Tell how many roots of the following polynomial...Ch. 6 - Using the Routh table, tell how many poles of the...Ch. 6 - Prob. 4PCh. 6 - Determine how many closed-loop poles lie in the...Ch. 6 - Determine how many closed-loop poles lie in the...Ch. 6 - MATLAB ML 7. Use MATLAB to find the pole location...Ch. 6 - Symbolic Math SM 8. Use MATLAB and the Symbolic...Ch. 6 - Determine whether the unity feedback system of...Ch. 6 - Use MATLAB to find the pole locations for the...Ch. 6 - Consider the unity feedback system of Figure P6.3...Ch. 6 - In the system of Figure P6.3, let Gs=Ks+1ss2s+3...Ch. 6 - Given the unity feedback system of Figure P6.3...Ch. 6 - Using the Routh-Hurwitz criterion and the unity...Ch. 6 - Given the unity feedback system of Figure P6.3...Ch. 6 - Repeat Problem 15 using MATLAB.Ch. 6 - Prob. 17PCh. 6 - For the system of Figure P6.4, tell how many...Ch. 6 - Using the Routh-Hurwitz criterion, tell how many...Ch. 6 - Determine if the unity feedback system of Figure...Ch. 6 - For the unity feedback system of Figure P6.3 with...Ch. 6 - In the system of Figure P6.3, let Gs=Ksassb Find...Ch. 6 - For the unity feedback system of Figure P63 with...Ch. 6 - Find the range of K for stability for the unity...Ch. 6 - For the unity feedback system of Figure P6.3 with...Ch. 6 - find the range of K for stability. [Section: 6.41]...Ch. 6 - Find the range of gain, K, to ensure stability in...Ch. 6 - Using the Routh-Hurwitz criterion, find the value...Ch. 6 - Use the Routh-Hurwitz criterion to find the range...Ch. 6 - Prob. 32PCh. 6 - Given the unity feedback system of Figure P63 with...Ch. 6 - Repeat Problem 33 for [Section: 6.4]...Ch. 6 - For the system shown in Figure P6.8, find the...Ch. 6 - Given the unity feedback system of Figure P6.3...Ch. 6 - For the unity feedback system of Figure P6.3 with...Ch. 6 - For the unity feedback system of Figure P6.3 with...Ch. 6 - Given the unity feedback system of Figure P6.3...Ch. 6 - Using the Routh-Hurwitz criterion and the unity...Ch. 6 - Find the range of K to keep the system shown in...Ch. 6 - Prob. 43PCh. 6 - The closed-loop transfer function of a system is...Ch. 6 - Prob. 45PCh. 6 - Prob. 46PCh. 6 - An interval polynomial is of the form...Ch. 6 - A linearized model of a torque-controlled crane...Ch. 6 - The read/write head assembly arm of a computer...Ch. 6 - A system is represented in state space as...Ch. 6 - State Space SS 52. The following system in state...Ch. 6 - Prob. 54PCh. 6 - A model for an airplane’s pitch loop is shown in...Ch. 6 - Prob. 57PCh. 6 - Prob. 58PCh. 6 - Prob. 59PCh. 6 - Prob. 60PCh. 6 - Prob. 61PCh. 6 - Look-ahead information can be used to...Ch. 6 - Prob. 63PCh. 6 - It has been shown (Pounds, 2011) that an unloaded...Ch. 6 - Prob. 65PCh. 6 - The system shown in Figure P6.16 has G1s=1/ss+2s+4...Ch. 6 - Prob. 67PCh. 6 - Prob. 68PCh. 6 - Hybrid vehicle. Figure P6.l8 shows the HEV system...Ch. 6 - Prob. 70P
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- 1.11 (a) A test piece is cut from a brass bar and subjected to a tensile test. With a load of 6.4 kN the test piece, of diameter 11.28 mm, extends by 0.04 mm over a gauge length of 50 mm. Determine: (i) the stress, (ii) the strain, (hi) the modulus of elasticity. (b) A spacer is turned from the same bar. The spacer has a diameter of 28 mm and a length of 250mm. both measurements being made at 20°C. The temperature of the spacer is then increased to 100°C, the natural expansion being entirely prevented. Taking the coefficient of linear expansion to be 18 x 10-6/"C determine: (i) the stress in the spacer, (ii) the compressive load on the spacer. [C.G.] [64MN/m2, 0.0008, 80GN/m2, 115.2 MN/m2, 71 KN.] 10:41arrow_forwardI have attached an image, In that they have mentioned the tolerance of 0.4 for all surfaces. I need to know what's the exact tolerance.arrow_forwardSolve this problem and show all of the workarrow_forward
- Solve this problem and show all of the workarrow_forwardPart A The man pulls on the rope with a force of F = 30 N as shown in (Figure 1). Figure 1.5 m 3 m. 4m 10.5 m 1 of 1 Determine the position vector from O to A. Express the x, y, and z components of the position vector in meters to three significant figures separated by commas. ΜΕ ΑΣΦ vec (TOA). (TOA)y. (TOA)== Submit Request Answer Part B m Determine the position vector from O to B. Express the x, y, and z components of the position vector in meters to three significant figures separated by commas. ΜΕ ΑΣΦ ↓↑ vec (TOB)x, (TOB)y, (TOB) = Submit Request Answer Part C Complete previous part(s) Provide Feedback ? marrow_forward4 Part A The tool is used to shut off gas valves that are difficult to access (Figure 1). Figure 0.25 m 30 0,4 m < 1 of 1 If the force F= {-60i+40j+15k} N is applied to the handle, determine the component of the moment created about the z axis of the valve. Express your answer with the appropriate units. Mz = Value Submit Request Answer Provide Feedback | ? Unitsarrow_forward
- 3. A steam power plant has an average monthly net power delivery of 740 MW over the course of a year. This power delivery is accomplished by burning coal in the boiler. The coal has a heating value of 9150 Btu/lbm. The cost of the coal is $14.20/ton. The overall thermal efficiency of the plant is, nth Wnet Qboiler 0.26 = 26% Determine the annual cost of the coal required to deliver the given average monthly power.arrow_forwardThe cable exerts a force of P = 4 kN at the end of the 8-m-long crane boom. A P 8 m B -x- I'm En ▾ Part A If 0 = 30°, determine the placement x of the boom at B so that this force creates a maximum moment about point O. Express your answer to three significant figures and include the appropriate units. x = 9.81 m Submit Previous Answers ✓ Correct ▾ Part B What is this moment? Express your answer to three significant figures and include the appropriate units. Assume the positive direction is counterclockwise. (Mo) max 43.7 = E ? N Submit Previous Answers Request Answer X Incorrect; Try Again; 28 attempts remaining Enter your answer with a different unit type. Review a list of acceptable units.arrow_forwardFind highest and lowest temperature.arrow_forward
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