Introductory Mathematics for Engineering Applications

1st Edition

ISBN: 9781118141809

Author: Nathan Klingbeil

Publisher: WILEY

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Textbook Question

Chapter 4, Problem 18P

Repeat problem P4-17 if V R = 10 V and V L = 20 V.

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Chapter 4, Problem 17P

Chapter 4, Problem 19P

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2. Consider the ODE u' = ƒ (u) = u² + r where r is a parameter that can take the values r = −1, −0.5, -0.1, 0.1. For each value of r: (a) Sketch ƒ(u) = u² + r and determine the equilibrium points. (b) Draw the phase line. (d) Determine the stability of the equilibrium points. (d) Plot the direction field and some sample solutions,i.e., u(t) (e) Describe how location of the equilibrium points and their stability change as you increase the parameter r. (f) Using the matlab program phaseline.m generate a solution for each value of r and the initial condition u(0) = 0.9. Print and turn in your result for r = −1. Do not forget to add a figure caption. (g) In the matlab program phaseline.m set the initial condition to u(0) = 1.1 and simulate the ode over the time interval t = [0, 10] for different values of r. What happens? Why? You do not need to turn in a plot for (g), just describe what happens.

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Chapter 4 Solutions

Introductory Mathematics for Engineering Applications

Ch. 4 - Prob. 1P Ch. 4 - Prob. 2P Ch. 4 - Prob. 3P Ch. 4 - Prob. 4P Ch. 4 - The tip of a one-link robot is represented as a...Ch. 4 - Repeat problem P4-5 if P=14.42 cm and =123.7.Ch. 4 - Repeat problem P4-5 if P=15 cm and =120.Ch. 4 - Repeat problem P4-5 if P=6 in, and =60.Ch. 4 - The x- and y-components of a vector P shown in...Ch. 4 - The x- and y-components of a vector P shown in...

Ch. 4 - The x- and y-components of a vector P shown in...Ch. 4 - The x- and y-components of a vector P shown in...Ch. 4 - A state trooper investigating an accident pushes a...Ch. 4 - Repeat problem P4-13 if the trooper is applying a...Ch. 4 - In a RL circuit, the voltage across the inductor...Ch. 4 - Repeat problem P4-15 if VR=10 V and VL=15 V.Ch. 4 - In an RC circuit, the voltage across the capacitor...Ch. 4 - Repeat problem P4-17 if VR=10 V and VL=20 V.Ch. 4 - In an electrical circuit, voltage V2 lags voltage...Ch. 4 - In an electrical circuit, voltage V2 leads voltage...Ch. 4 - Prob. 21P Ch. 4 - Prob. 22P Ch. 4 - Prob. 23P Ch. 4 - A ship is crossing a river at a heading of -150...Ch. 4 - Prob. 25P Ch. 4 - A two-link planar robot is shown in Fig. P4.26....Ch. 4 - A two-link planar robot is shown in Fig. P4.27....Ch. 4 - A two-link planar robot is shown in Fig. P4.28....Ch. 4 - A two link planar robot is shown in Fig. P4.29....Ch. 4 - Prob. 30P Ch. 4 - A weight of 100 kg is suspended from the ceiling...Ch. 4 - Prob. 32P Ch. 4 - A vehicle weighing 2000 lb is parked on an...Ch. 4 - A crate of weight W=100 lb sits on a ramp oriented...Ch. 4 - A 500 N television sits on an inclined ramp, shown...Ch. 4 - Prob. 36P Ch. 4 - Prob. 37P Ch. 4 - A force F=100N is applied to a two-bar truss as...Ch. 4 - Prob. 39P Ch. 4 - A waiter extends his arm to hand a plate of food...Ch. 4 - Repeat problem P4-40 if Fm=50 lb, Wa=50 lb, Wp=50...Ch. 4 - Using motion capture, the positions P1 and P2 of...Ch. 4 - Repeat problem P4-42 if P1=1 ft, P2=1.5 ft, 1=45,...

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