
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 5, Problem 5.6P
Calculate the forces in all members of the trusses shown, using the method of joints.
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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…
Please show all work step by step
Copyright 2013 Pearson Education, publishing as Prentice Hall
2. Determine the force that the jaws J of the metal cutters exert on the smooth cable C if 100-N
forces are applied to the handles. The jaws are pinned at E and A, and D and B. There is also
a pin at F.
E
400 mm
15°
D
B
30 mm² 80 mm/
20 mm
15°
$15°
20 mm
400 mm
15°
100 N
100 N
15°
Chapter 5 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 5 - through 5.7 Calculate the forces in all members of...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Determine the forces in members CD, DH, and HI for...Ch. 5 - Determine the forces in members BC, BE, and FE for...Ch. 5 - Determine the forces in members BC, CH, and CG in...
Ch. 5 - For the Howe roof truss shown, determine the...Ch. 5 - Determine the forces in members DE, CE, and BC in...Ch. 5 - Calculate the forces in members BC, BG, and FG for...Ch. 5 - Determine the forces in members CD, BD, BE, and CB...Ch. 5 - A pin-connected A-frame supports a load, as shown....Ch. 5 - Determine the pin reactions at pins A, B, and C in...Ch. 5 - Calculate the pin reactions at each of the pins in...Ch. 5 - A bracket is pin connected at points A, B, and D...Ch. 5 - A pin-connected frame is loaded, as shown....Ch. 5 - The cylinder shown has a mass of 500 kg. Determine...Ch. 5 - A simple frame is pin connected at points A, B,...Ch. 5 - Using the method of sections, determine the forces...Ch. 5 - Using the method of sections, determine the forces...Ch. 5 - through 5.31 Calculate the forces in all members...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - For Problems 5.32 through 5.38, calculate the...Ch. 5 - For Problem 5.32 through 5.38, Calculate the...Ch. 5 - For Problems 5.32 through 5.38, calculate the...Ch. 5 - For Problems 5.32 through 5.38, calculate the...Ch. 5 - For Problem 5.32 through 5.38 , Calculate the...Ch. 5 - For Problems 5.32 through 5.38, calculate the...Ch. 5 - For Problems 5.32 through 5.38, calculate the...Ch. 5 - A pin-connected crane framework is loaded and...Ch. 5 - Calculate the pin reactions at pins A, B, and D in...Ch. 5 - Determine the pin reactions at pins A, B, and C in...Ch. 5 - The wall bracket shown is pin-connected at points...Ch. 5 - Calculate the pin reactions at each of the pins in...Ch. 5 - The A-frame shown is pin-connected at A,B,C, and...Ch. 5 - The tongs shown are used to grip an object. For an...Ch. 5 - A toggle joint is a mechanism by which a...Ch. 5 - In the toggle joint of Problem 5.46 , assume that...Ch. 5 -
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