Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Question
Chapter 2, Problem 4P
a.
To determine
Solve the differential equation
b.
To determine
Solve the differential equation
c.
To determine
Solve the differential equation
Expert Solution & Answer
Trending nowThis is a popular solution!
Learn your wayIncludes step-by-step video
schedule18:28
Students have asked these similar questions
One end of a thin uniform rod of mass m and length 31 rests against a smooth vertical wall. The other
end of the rod is attached by a string of length 1 to a fixed point O which is located a distance 21 from the
wall. A horizontal force of magnitude F₁ is applied to the lower end of the rod as shown. Assuming the
rod and the string remain in the same vertical plane perpendicular to the wall, find the angle 0 between
the rod and the wall at the position of static equilibrium.
Notes:
This quiz is going to walk you through a sequence of steps to do this. It won't give you the
answers, but it will hopefully get you to see how to approach problems like this so that you have
a working reference/template in the future.
This is actually a modified version of a problem from the textbook (6.3). Note that in that
problem, is not actually given. It has been introduced for convenience as we move through
solving the problem, and should not show up in the final answer. DO NOT DO PROBLEM 6.3. It is…
v
13.64 The shaft shown in Sketch h transfers power between
the two pulleys. The tension on the slack side (right pul-
ley) is 30% of that on the tight side. The shaft rotates
at 900 rpm and is supported uniformly by a radial ball
bearing at points 0 and B. Select a pair of radial ball bear-
ings with 99% reliability and 40,000 hr of life. Assume
Eq. (13.83) can be used to account for lubricant clean-
liness. All length dimensions are in millimeters. Ans.
Cmin = 42,400 N.
Chapter 2 Solutions
Control Systems Engineering
Ch. 2 - Prob. 1RQCh. 2 - Prob. 2RQCh. 2 - Prob. 3RQCh. 2 - Define the transfer function.Ch. 2 - Prob. 5RQCh. 2 - What do we call the mechanical equations written...Ch. 2 - If we understand the form the mechanical equations...Ch. 2 - Why do transfer functions for mechanical networks...Ch. 2 - What function do gears perform?Ch. 2 - What are the component parts of the mechanical...
Ch. 2 - The motor’s transfer function relates armature...Ch. 2 - Summarize the steps taken to linearize a nonlinear...Ch. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - A system is described by the following...Ch. 2 - For each of the following transfer functions,...Ch. 2 - Write the differential equation for the system...Ch. 2 - Write the differential equation that is...Ch. 2 - Prob. 12PCh. 2 - Use MATLAB to generate the MATLAB ML transfer...Ch. 2 - Repeat Problem 13 for the MATLAB following...Ch. 2 - Use MATLAB to generate the partial fraction...Ch. 2 - Use MATLAB and the Symbolic Math Symbolic Math...Ch. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Repeat Problem 19 using nodal equations. [Section:...Ch. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Write, but do not solve, the equations of motion...Ch. 2 - For the unexcited (no external force applied)...Ch. 2 - For each of the rotational mechanical systems...Ch. 2 - For the rotational mechanical system shown in...Ch. 2 - Find the transfer function, 1sTs , for the system...Ch. 2 - For the rotational mechanical system with gears...Ch. 2 - For the rotational system shown in Figure P2.21,...Ch. 2 - Prob. 37PCh. 2 - Find the transfer function, Gs=4s/Ts , for the...Ch. 2 - For the rotational system shown in Figure P2.24,...Ch. 2 - Prob. 40PCh. 2 - Given the rotational system shown in Figure P226,...Ch. 2 - In the system shown in Figure P2.27, the inertia,...Ch. 2 - Prob. 43PCh. 2 - Given the combined translational and rotational...Ch. 2 - Prob. 45PCh. 2 - The motor whose torque-speed characteristics are...Ch. 2 - A dc motor develops 55 N-m of torque at a speed of...Ch. 2 - 48. In this chapter, we derived the transfer...Ch. 2 - Prob. 49PCh. 2 - Find the series and parallel analogs for the...Ch. 2 - Find the series and parallel analogs for the...Ch. 2 - A system’s output, c, is related to the system’s...Ch. 2 - Prob. 53PCh. 2 - Consider the differential equation...Ch. 2 - 55. Many systems are piecewise linear. That is,...Ch. 2 - For the translational mechanical system with a...Ch. 2 - 57. Enzymes are large proteins that biological...Ch. 2 - Prob. 58PCh. 2 - Figure P2.36 shows a crane hoisting a load....Ch. 2 - 60. In 1978, Malthus developed a model for human...Ch. 2 - 61. In order to design an underwater vehicle that...Ch. 2 - 62. The Gompertz growth model is commonly used to...Ch. 2 - A muscle hanging from a beam is shown in Figure...Ch. 2 - A three-phase ac/dc converter supplies dc to a...Ch. 2 - Prob. 65P
Knowledge Booster
Similar questions
- A 4 inch wide, 12 inch tall cross section beam is subjected to an internal shear of 5.5 kips. What is the maximum transverse shear stress in the beam in psi if this bending is about the x axis?arrow_forwardA Brayton cycle produces 14 MW with an inlet state of 17°C, 100 kPa, and a compression ratio of 16:1. The heat added in the combustion is 960 kJ/kg. 0.7 MW of heat transferred from the turbine to the environment. What are the highest temperature and the mass flow rate of air? Assume cold air properties.arrow_forward. A gas turbine with air enters the compressor at 300 K, 1 bar, and exits from the turbine at 750 K, 1 bar. The thermal efficiency of the cycle is 40.1% and the back work ratio (BWR) is 0.4. Find the pressure ratio of the cycle. Assume variable specific heat.arrow_forward
- A regenerative gas turbine power plant is shown in Fig. below. Air enters the compressor at 1 bar, 27°C with a mass flow rate of 0.562 kg/s and is compressed to 4 bar. The isentropic efficiency of the compressor is 80%, and the regenerator effectiveness is 90%. All the power developed by the high-pressure turbine is used to run the compressor. The low-pressure turbine provides the net power output. Each turbine has an isentropic efficiency of 87% and the temperature at the inlet to the highpressure turbine is 1200 K. Assume cold air properties, determine: a. The net power output, in kW. b. The thermal efficiency of the cycle.arrow_forwardFor tixed inlet state and exit pressure, use a cold-air standard analysis to show that the pressure ratio across the two compressor stages that gives nunimum work input is:=)) k/(k-1) when Ta Ti, where Ta is the temperature of the air entering the second stage compressor and Pi is the intercooler pressure. Put the suitable assumptionsarrow_forwardDerive the equation below ah ap ax 12μ ax, +( ah ap ay 12μ ay Where P P (x, y) is the oil film pressure. 1..ah 2 axarrow_forward
- Can you determine the eignevalues by hand?arrow_forwardMonthly exam 13 2021-2022 Power plant Time: 1.5 Hrs Q1. A The gas-turbine cycle shown in Fig. is used as an automotive engine. In the first turbine, the gas expands to pressure Ps, just low enough for this turbine to drive the compressor. The gas is then expanded through the second turbine connected to the drive wheels. The data for the engine are shown in the figure, and assume that all processes are ideal. Determine the intermediate pressure Ps, the net specific work output of the engine, and the mass flow rate through the engine. Find also the air temperature entering the burner T3 and the thermal efficiency of the engine. Exhaust Air intake Φ www Regenerator www Bumer Compressor Turbine Power turbine et 150 kW Wompressor P₁ = 100 kPa T₁ = 300 K PP₁ =60 P-100 kPa T₁ = 1600 K Q2. On the basis of a cold air-standard analysis, show that the thermal efficiency of an ideal regenerative gas turbine can be expressed as 77 = 1- where - () () гp is the compressor pressure ratio, and T₁ and…arrow_forwardI need to find m in R = mD from the image given. Do you really need to know what R and D is to find R. I was thinking geometrically we can find a relationship between R and D. D = R*cos(30). Then R = mD becomes m = R/D = 1/cos(30) = 1.1547. Is that correct?arrow_forward
- Q1] B/ (16 Marks) To produce a lightweight epoxy part to provide thermal insulation. The available material are hollow glass beads for which the outside diameter is 1.6 mm and the wall thickness is 0.04 mm. Determine the weight and number of beads that must be added to the epoxy to produce a 0.5 kg of composite with a density of 0.65 g/cm³. The density of the glass is 2.5 g/cm³ and that of the epoxy is 1.25 g/cm³.arrow_forwardBelow is a projection of the inertia ellipsoid in the b1-b2 plane (b1 and b2 are unit vectors). All points on the ellipsoid surface represent moments of inertia in various directions. The distance R is related to the distance D such that R = md. Determine m.arrow_forwardBelow is a projection of the inertia ellipsoid in the b1-b2 plane (b1 and b2 are unit vectors). All points on the ellipsoid surface represent moments of inertia in various directions. Determine I_aa ( moment of inertia) for direction n_a (this is a unit vector).arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY