Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 1, Problem 1.9P
Freehand sketch the following triangles and solve completely (Find the unknown sides anchor angles.)
a. a = 11 ft, b = 13 ft, C = 80
b. b = 78 ft, c = 85 ft, A = 72
c. a = 7 ft, b = 24 ft, c = 25 ft
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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
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solve for the equilibrium angle of the rod. DO NOT solve the equation.
f) Can…
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Chapter 1 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 1 - Prob. 1.1PCh. 1 - In the right triangle ABC shown, c = 25 ft and...Ch. 1 - Determine the length of side a and the meausre of...Ch. 1 - A 28-ft-long ladder leaning against a wall makes...Ch. 1 - Two legs of a right triangle are 6 ft and 10 ft....Ch. 1 - In the roof truss shown determine the lengths of...Ch. 1 - A level scaffold s to be supported at the center...Ch. 1 - A wanderer hikes due east for 2 mi, then southeast...Ch. 1 - Freehand sketch the following triangles and solve...Ch. 1 - One side of a triangular lot is 100 ft and the...
Ch. 1 - A box containing 8 shock absorbers and 10 brake...Ch. 1 - Prob. 1.12PCh. 1 - Express 0.015 ton (a) in pounds (lb) and (b) in...Ch. 1 - Express 5 mi (a) in yards (yd) and (b) in feet...Ch. 1 - Express 60 miles per hour (mph) in units of feet...Ch. 1 - Find the number of square rods in one acre.Ch. 1 - A reservoir contains an estimated 125 billion...Ch. 1 - Convert the following: a. 27 ft 734 in. to...Ch. 1 - 1.19 A water system of 2 in (inside diameter)...Ch. 1 - The soil pressure under a concrete footing is...Ch. 1 - Using Table 1 , establish your height in...Ch. 1 - The dimensions on a baseball field are as follows:...Ch. 1 - Convert the following quantities from U.S....Ch. 1 - Convert the following quantities to SI units of...Ch. 1 - Convert the following quantities to SI units of...Ch. 1 - Convert the following quantities to the designated...Ch. 1 - 1.27 Rework Problem 1.19 using an inside pipe...Ch. 1 - A spherical tank has a radius of 27 in. Find the...Ch. 1 - 1.29 A ladder rests against a vertical wall at a...Ch. 1 - A surveyor measures a zenith angle of 70° 03’20”...Ch. 1 - The tower of a tower crane casts a shadow (on...Ch. 1 - 1.32 From the top of a 30-ft building, the angle...Ch. 1 - Two planes, starting from airport X, fly for 2 hr,...Ch. 1 - Rework Problem 1.31 assuming that the ground...Ch. 1 - An Egyptian pyramid has a square base and...Ch. 1 - Two observation towers A and B are located 300 ft...Ch. 1 - Two people fishing from rowboats on a lake are 100...Ch. 1 - What is the average speed in miles per hour (mph)...Ch. 1 - The volume flow of a river is expressed as 5000...Ch. 1 - A 55-gal drum filled with sand weighs 816 lb. The...Ch. 1 - The total area to be occupied by a building and a...Ch. 1 - An electronic distance measurement device (EDM) is...
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