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International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
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Textbook Question
Chapter 3, Problem 3.43P
The force-couple system acting at O is equivalent to the wrench acting at A. If R=600i+1400j+700k lb and |C|=1200 lb⋅ft, determine CR.
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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
Chapter 3 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
Ch. 3 - Determine which of the force systems in (b)...Ch. 3 - Replace the force system acting on the beam by an...Ch. 3 - Replace the force system with an equivalent...Ch. 3 - The four forces shown act on the rollers of an...Ch. 3 - Replace the three forces with an equivalent...Ch. 3 - The force system acting on the machine part is...Ch. 3 - The three forces are perpendicular to the...Ch. 3 - Replace the three forces acting on the...Ch. 3 - When the three forces acting on the...Ch. 3 - Represent each of the force systems with a...
Ch. 3 - A worker applies the forces P=8i+10jlb and Q=8ilb...Ch. 3 - When the three forces are replaced by an...Ch. 3 - Replace the two forces and a couple acting on the...Ch. 3 - The shaft-and-pulley assembly ABCD is driven by...Ch. 3 - Replace the force and the couple with an...Ch. 3 - Determine the resultant force R and its line of...Ch. 3 - The 3200-1b weight is supported by two cables....Ch. 3 - The resultant of the three concurrent forces...Ch. 3 - The overhead electric hoist C rides along a track...Ch. 3 - Determine the resultant of the two forces and the...Ch. 3 - Determine the resultant of the force system shown.Ch. 3 - Determine the resultant of the three forces if (a)...Ch. 3 - Determine the resultant of the force system acting...Ch. 3 - Determine the resultant of the forces shown.Ch. 3 - The resultant of the three forces is a force R...Ch. 3 - The resultant of the four belt tensions and the...Ch. 3 - The resultant of the three forces shown is a...Ch. 3 - The resultant of the three forces is the force...Ch. 3 - The bar AB, which is inclined at the angle to the...Ch. 3 - The values of Fz,Mx, and My for three force...Ch. 3 - State whether the resultant of each force system...Ch. 3 - Determine the resultant of the three cable...Ch. 3 - The resultant of the three cable tensions acts...Ch. 3 - The resultant of the three forces acting along the...Ch. 3 - The resultant of the four forces that act on the...Ch. 3 - Determine the resultant R of the three forces...Ch. 3 - Find the resultant of the three forces acting on...Ch. 3 - The resultant of the forces P1,P2, and the couple...Ch. 3 - Find the resultant of the two forces and the...Ch. 3 - Determine the resultant of the force system acting...Ch. 3 - The wrench shown is the resultant of a...Ch. 3 - Determine the resultant of the four forces.Ch. 3 - The force-couple system acting at O is equivalent...Ch. 3 - The force-couple system consists of the force...Ch. 3 - (a) Replace the force system shown by an...Ch. 3 - During a storm, wind exerts a pressure of 110N/m2,...Ch. 3 - Water pressure acting on the vertical wall of the...Ch. 3 - Determine the resultant of the line load acting on...Ch. 3 - Determine the resultant of the line load acting on...Ch. 3 - Determine the resultant of the line loads acting...Ch. 3 - Find the resultant of the distributed load acting...Ch. 3 - Determine the resultant of the uniformly...Ch. 3 - The figure shows the water pressure acting on the...Ch. 3 - The water pressure acting on a masonry dam varies...Ch. 3 - The concrete pier is subjected to soil pressure...Ch. 3 - Find the resultant of the three forces acting on...Ch. 3 - The resultant of the force system shown is a...Ch. 3 - Determine the resultant of the three forces acting...Ch. 3 - The five forces act at end A of the boom....Ch. 3 - Find the resultant of the distributed load acting...Ch. 3 - Determine the resultant of the line loads acting...Ch. 3 - Replace the force system shown with an equivalent...Ch. 3 - The center of gravity of the 30-lb square plate is...Ch. 3 - Determine the resultant of the force system shown.Ch. 3 - Find the x- and y-coordinates of the point where...Ch. 3 - Replace the force system acting on the pipe with...Ch. 3 - Replace the coplanar force system that acts on the...Ch. 3 - Determine the magnitude of the resultant of the...Ch. 3 - Determine the wrench that is equivalent to the...Ch. 3 - The resultant of the three cable tensions acting...
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