Thinking Like an Engineer
Thinking Like an Engineer
4th Edition
ISBN: 9781269910989
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: Pearson Learning Solutions
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Chapter 19, Problem 8RQ

Create a program to determine whether a given Mach number is subsonic, transonic, supersonic, or hypersonic. Assume the user will enter the speed of the object in meters per second, and the program will determine the Mach number (actual speed divided by the speed of sound). As output, the program will display the Mach number to two decimal places. The program should include a check to ensure that the user entered a positive value. If a nonpositive value is entered, the program should inform the user of the error and terminate.

The speed of sound 1s about 343 m/s. The classifications are as follows:

Subsonic < Mach 1

Transonic = Mach 1

Mach 1 <Supersonic< Mach 5

Hypersonic ≥ Mach 5

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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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