EBK ENGINEERING MECHANICS STATICS
15th Edition
ISBN: 9780135187777
Author: HIBBELER
Publisher: PEARSON
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Chapter 7.4, Problem 118P
To determine
The total weight of the cable and the maximum tension developed in the cable.
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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 7 Solutions
EBK ENGINEERING MECHANICS STATICS
Ch. 7.1 - In each case, calculate the reaction at A and then...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Assume A is pinned and B is a roller. Prob. F7-6Ch. 7.1 - Determine the shear force and moment at points C...Ch. 7.1 - Assume the support at B is a roller. Point C is...Ch. 7.1 - Determine the internal normal force, shear force,...
Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - If a force of 20 lb is applied to the handles,...Ch. 7.1 - Determine the distance a as a fraction of the...Ch. 7.1 - Determine the internal shear force and moment...Ch. 7.1 - Determine the internal shear force and moment...Ch. 7.1 - Take P = 8 kN. Prob. 7-9Ch. 7.1 - Determine the largest vertical load P the frame...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the distance a between the bearings in...Ch. 7.1 - Point D is located just to the left of the 5-kip...Ch. 7.1 - The shaft is supported by a journal bearing at A...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Prob. 19PCh. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Point E is located just to the left of 800 N...Ch. 7.1 - Point D is located just to the left of the roller...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the ratio of a/b for which the shear...Ch. 7.1 - Point E is just to the right of the 3-kip load....Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Point D is located just to the left of the 10-kN...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - If the suspended load has a weight of 2 kN and a...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - The distributed loading W = W0 sin , measured per...Ch. 7.1 - Solve Prob. 7-39 for = 120. Probs. 739/40Ch. 7.1 - z components of force and moment at point C in the...Ch. 7.1 - Determine the x, y, z components of force and...Ch. 7.1 - Determine the x, y, z components of internal...Ch. 7.1 - Determine the x, y. z components of internal...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Draw the shear and moment diagrams for the shaft...Ch. 7.2 - Draw the shear and moment diagrams for the beam...Ch. 7.2 - Draw the shear and moment diagrams for the beam...Ch. 7.2 - Draw the shear and moment diagrams for the...Ch. 7.2 - Draw the shear and moment diagrams of the beam (a)...Ch. 7.2 - If L = 9 m, the beam will fail when the maximum...Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - The shaft is supported by a smooth thrust bearing...Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Draw the shear and moment diagrams for the...Ch. 7.2 - Draw the shear and bending-moment diagrams for...Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - The shaft is supported by a smooth thrust bearing...Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - The beam will fail when the maximum internal...Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Determine the internal normal force, shear force,...Ch. 7.2 - The quarter circular rod lies in the horizontal...Ch. 7.2 - Express the internal shear and moment components...Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the...Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the shaft....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - The beam consists of three segments pin connected...Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - The cable supports the three loads shown....Ch. 7.4 - The cable supports the three loads shown....Ch. 7.4 - Determine the tension in each segment of the cable...Ch. 7.4 - The cable supports the loading shown. Determine...Ch. 7.4 - The cable supports the loading shown. Determine...Ch. 7.4 - The cable supports the three loads shown....Ch. 7.4 - The cable supports the three loads shown....Ch. 7.4 - Determine the force P needed to hold the cable in...Ch. 7.4 - Determine the maximum uniform loading w, measured...Ch. 7.4 - The cable is subjected to a uniform loading of w =...Ch. 7.4 - The cable AB is subjected to a uniform loading of...Ch. 7.4 - Prob. 105PCh. 7.4 - If yB = 1.5 ft. determine the largest weight of...Ch. 7.4 - The cable supports a girder which weighs 850...Ch. 7.4 - Prob. 108PCh. 7.4 - If the pipe has a mass per unit length of 1500...Ch. 7.4 - Prob. 110PCh. 7.4 - Determine the maximum tension developed in the...Ch. 7.4 - Prob. 112PCh. 7.4 - The cable is subjected to the parabolic loading w...Ch. 7.4 - The power transmission cable weighs 10 lb/fl. If...Ch. 7.4 - The power transmission cable weighs 10 lb/ft. If h...Ch. 7.4 - The man picks up the 52-ft chain and holds it just...Ch. 7.4 - Prob. 117PCh. 7.4 - Prob. 118PCh. 7.4 - Prob. 119PCh. 7.4 - A telephone line (cable) stretches between two...Ch. 7.4 - Prob. 121PCh. 7.4 - Prob. 122PCh. 7.4 - A cable has a weight of 5 lb/ft. If it can span...Ch. 7.4 - Prob. 124PCh. 7.4 - Determine the internal normal force, shear force,...Ch. 7.4 - Determine the normal force, shear force, and...Ch. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Prob. 6RP
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