Thinking Like an Engineer: An Active Learning Approach (4th Edition)
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 14, Problem 9ICA

During November, the heading system in your apartment appeared to be broken. To prove this, you record the following daily high temperatures in degrees Fahrenheit, taken every other day:

Chapter 14, Problem 9ICA, During November, the heading system in your apartment appeared to be broken. To prove this, you

a. calculate the mean and median of the data

b. Draw the associated histogram and CDF for the data by hand; plot temperature on the abscissa and days on the ordinate

c. When you take your complaint to the apartment manager, he falls to see the problem, according to his heating bill, your apartment had an average temperature of 72 degrees Fahrenheit. Show both the mean and the median on the graph drawn for part (b). Which is better presentation of the data, part (a) or part (b)? Justify.

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(30 pts) Problem 1 A thin uniform rod of mass m and length 2r rests in a smooth hemispherical bowl of radius r. A moment M mgr 4 is applied to the rod. Assume that the bowl is fixed and its rim is in the horizontal plane. HINT: It will help you to find the length l of that portion of the rod that remains outside the bowl. M 2r a) How many degrees of freedom does this system have? b) Write an equation for the virtual work in terms of the angle 0 and the motion of the center of mass (TF) c) Derive an equation for the variation in the position of the center of mass (i.e., Sŕƒ) a. HINT: Use the center of the bowl as the coordinate system origin for the problem. d) In the case of no applied moment (i.e., M 0), derive an equation that can be used to solve for the equilibrium angle of the rod. DO NOT solve the equation e) In the case of an applied moment (i.e., M = mgr = -) derive an equation that can be used to 4 solve for the equilibrium angle of the rod. DO NOT solve the equation. f) Can…
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