Thinking Like an Engineer: An Active Learning Approach (4th Edition)
4th Edition
ISBN: 9780134639673
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: PEARSON
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Chapter 11.2, Problem 1CC
In the following experimental data plot, identify violations of the proper plot rules.
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3.) 13.152* - A sphere (m = 2 kg) is connected to a fixed point O by an inextensible cord (L = 1.2 m). The
sphere rests on a frictionless horizontal surface at a distance of x = 0.5 m from O when it is given a velocity
(V.) in a direction perpendicular to OA. It moves freely until it reach A', when the cord becomes taut. Find
the maximum possible velocity v. if the impulse of the force exerted on the cord is not to exceed F = 3Ns.
4.) 13.165* - Two billiard balls A & B (same mass m & diameter d = 2.37") are as shown. Ball A has velocity
V₁ = 3 ft/s when it strikes B, which is at rest. B then moves in the x direction after impact. Find (a) angle 0,
(b) the velocity of B after impact (VB'). Positional variables are x = 6" and y = 10", and e = 0.9.
We will consider a linear system and a nonlinear system under uncertainty, each expressed in the form
of a set of stochastic differential equation (SDE) as follows:
=
da (Ax+ Bu)dt + Gdw,
dx = f(x,u,t)dt+Gdw,
(1)
(2)
where x is the state, u is the control, and dw is a differential increment of standard Brownian motion, i.e.,
E[dw] = 0 and E [dw(t)dw(t)] = dt-1.
In this problem, we consider the linear SDE, Eq. (1), with a very simple model where x = R², u = [0,0]
(no control), and dw R². The matrices A, B, and G are given as follows:
A=02x2, B=02x2; G = [000]
(3)
where σp Є R represents the degree of the uncertainty, and let us take σ₁ = 2 and σ2 = 3. Assume that the
initial state is deterministic and e(t = 0) = [0,0]. Take the following steps to simulate the given SDE for
1 € [0, 1]:
(a): Consider the increments of w between each time interval [+1). Derive the analytical expression
of Aw using w~N(02, 12), where Aw, w(tk+1) — w(tk).
(c): Derive the approximate continuous-time EoM from…
Chapter 11 Solutions
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
Ch. 11.2 - In the following experimental data plot, identify...Ch. 11.2 - In the following experimental data plot, identify...Ch. 11.2 - In the following theoretical data plot, identify...Ch. 11.2 - In the following theoretical data plot, identify...Ch. 11.4 - Use the graph to answer the following questions....Ch. 11.5 - Use the graph to answer the following questions....Ch. 11.6 - We assume that the current through two...Ch. 11.6 - You are working for a tire manufacturer, producing...Ch. 11.6 - You want to install a solar panel system on your...Ch. 11 - Joules first law relates the heat generated to...
Ch. 11 - Data for a wind turbine is shown below. Use the...Ch. 11 - There is a large push in the United States to...Ch. 11 - Your team has designed three tennis ball...Ch. 11 - Plot the following pairs of functions on a single...Ch. 11 - Plot the following pairs of functions on a single...Ch. 11 - You need to create a graph showing the...Ch. 11 - The decay of a radioactive isotope can be modeled...Ch. 11 - In researching alternate energies, you find that...Ch. 11 - The following graph applies to ICA 11-10 to ICA...Ch. 11 - The following graph applies to ICA 11-10 to ICA...Ch. 11 - The following graph applies to ICA 11-10 to ICA...Ch. 11 - The following graph applies to ICA 11-10 to ICA...Ch. 11 - The following graph applies to ICA 11-10 to ICA...Ch. 11 - The following graph applies to ICA 11-10 to ICA...Ch. 11 - Use the following graph to determine which...Ch. 11 - The following graph shows the power delivered to a...Ch. 11 - The music industry in the United States has had a...Ch. 11 - You are working for a chemical manufacturer,...Ch. 11 - Use the accompanying graph to answer the following...Ch. 11 - A company designs submersible robots with a new...Ch. 11 - Your company is manufacturing a complex part from...Ch. 11 - For questions 1 through 10, your instructor will...Ch. 11 - 2. Due to increased demand, an industrial engineer...Ch. 11 - 3. An engineer is conducting tests of two...Ch. 11 - 4. Several reactions are carried out in a closed...Ch. 11 - 5. The following experimental data are collected...Ch. 11 - 6. If an object is heated, the temperature of the...Ch. 11 - 7. Eutrophication is the result of excessive...Ch. 11 - 8. In the 1950s, a team at Los Alamos National...Ch. 11 - Prob. 9RQCh. 11 - 10. One of the 22 named, derived units in the...Ch. 11 - Shown are graphs of the altitude in meters, and...Ch. 11 - Answer the following questions using the graph....Ch. 11 - Answer the following questions using the graph....Ch. 11 - In a simple electric circuit, the current (I) must...Ch. 11 - In a hard drive design, the faster the disk spins,...Ch. 11 - We have decided to become entrepreneurs by raising...Ch. 11 - As an engineer, suppose you are directed to design...Ch. 11 - We have obtained a contract to construct metal...Ch. 11 - Your company has developed a new high-mileage...Ch. 11 - One of the 14 Grand Challenges for Engineering as...Ch. 11 - You are an engineer for a plastics manufacturing...Ch. 11 - When a wine generator is installed there is a...
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