Control Theory I Mid-Examina on (2024-2025)Answer all questionsTime: 1.0 hr.Q.1/ Find the overall transfer function, T(s) = C(s)/R(s), for the followingblock diagram system shown in Figure 1.G₁H₁Figure 1H₂CSG₂G3

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Operations Research : Applications and Algorithms

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ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter8: Network Models

Section8.7: The Network Simplex Method

Problem 4P

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(Civil eng.) The maximum load that can be placed at the end of a symmetrical wooden beam, such as the rectangular beam shown in Figure 2.20, can be calculated as the following: L=S1dc L is the maximum weight in lbs of the load placed on the beam. S is the stress in lbs/in2. I is the beam’s rectangular moment of inertia in units of in4. d is the distance in inches that the load is placed from the fixed end of the beam (the “moment arm”). c is one-half the height in inches of the symmetrical beam. For a 2” × 4” wooden beam, the rectangular moment of inertia is given by this formula: I=baseheight3=12=24312=10.674 c=(4in)=2in a. Using this information, design, write, compile, and run a C++ program that computes the maximum load in lbs that can be placed at the end of an 8-foot 24 wooden beam so that the stress on the fixed end is 3000lb/in2. b. Use the program developed in Exercise 9a to determine the maximum load in lbs that can be placed at the end of a 3” × 6” wooden beam so that the stress on the fixed end is 3000lb/in2.
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Control Theory I Mid-Examina on (2024-2025) Answer all questions Time: 1.0 hr. Q.1/ Find the overall transfer function, T(s) = C(s)/R(s), for the following block diagram system shown in Figure 1. G₁ H₁ Figure 1 H₂ C S G₂ G3