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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 6, Problem 6.18P
For the ladder in Prob. 6.17, find the internal force system acting on section 2, assuming that x < a/2.
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virtual velocities V2 and W2
(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 6 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
Ch. 6 - Determine the internal force system acting on...Ch. 6 - Determine the internal force system acting on...Ch. 6 - Determine the internal force system acting on...Ch. 6 - Find the internal force systems acting on sections...Ch. 6 - Find the internal force systems acting on sections...Ch. 6 - Find the internal force systems acting on sections...Ch. 6 - The three identical cantilever beams carry...Ch. 6 - Determine the internal force systems acting on...Ch. 6 - For the structural component shown, determine the...Ch. 6 - Compute the internal force system acting on...
Ch. 6 - Determine the internal force system acting on...Ch. 6 - Determine the internal force systems acting on...Ch. 6 - Determine the internal force systems acting on...Ch. 6 - Find the internal force system acting on section 3...Ch. 6 - The structure is supported by a pin at C and a...Ch. 6 - The 1800lbin. couple is applied to member DEF of...Ch. 6 - A man of weight W climbs a ladder that has been...Ch. 6 - For the ladder in Prob. 6.17, find the internal...Ch. 6 - Determine the internal force system acting on...Ch. 6 - The equation of the parabolic arch is y=(36x2)/6,...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - For the beam shown, derive the expressions for V...Ch. 6 - Derive the shear force and the bending moment as...Ch. 6 - Derive the shear force and the bending moment as...Ch. 6 - The 24-ft timber floor joist is designed to carry...Ch. 6 - For the beam AB shown in Cases 1 and 2, derive and...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Construct the shear force and bending moment...Ch. 6 - Draw the load and the bending moment diagrams that...Ch. 6 - Draw the load and the bending moment diagrams that...Ch. 6 - Draw the load and the bending moment diagrams that...Ch. 6 - Draw the load and the bending moment diagrams that...Ch. 6 - Draw the load and the bending moment diagrams that...Ch. 6 - Show that the tension acting at a point in a...Ch. 6 - The cable of the suspension bridge spans L=140m...Ch. 6 - The two main cables of the Akashi Kaikyo...Ch. 6 - Cable AB supports the uniformly distributed load...Ch. 6 - A uniform 80-ft pipe that weighs 960 lb is...Ch. 6 - The cable AB supports a uniformly distributed load...Ch. 6 - The string attached to the kite weighs 0.4 oz/ft....Ch. 6 - Show that the tension acting at a point in a...Ch. 6 - A uniform cable weighing 16 N/m is suspended from...Ch. 6 - The tensions in the cable at points O and B are...Ch. 6 - The cable AOB weighs 24 N/m. Determine the sag H...Ch. 6 - The cable of mass 1.8 kg/m is attached to a rigid...Ch. 6 - One end of cable AB is fixed, whereas the other...Ch. 6 - The end of a water hose weighing 0.5 lb/ft is...Ch. 6 - The 50-ft measuring tape weighs 2.4 lb. Compute...Ch. 6 - The cable AOB weighs 5.2 N/m. When the horizontal...Ch. 6 - The chain OA is 25 ft long and weighs 5 lb/ft....Ch. 6 - The 110-lb traffic light is suspended from two...Ch. 6 - The cable carrying 60-lb loads at B and C is held...Ch. 6 - The cable ABCD is held in the position shown by...Ch. 6 - Find the forces in the three cable segments and...Ch. 6 - The cable carrying three 400-lb loads has a sag at...Ch. 6 - The cable supports three 400-lb loads as shown. If...Ch. 6 - Cable ABC of length 5 m supports the force W at B....Ch. 6 - When the 12-kN load and the unknown force P are...Ch. 6 - The cable is loaded by an 80-lb vertical force at...Ch. 6 - The 15-m-long cable supports the loads W1 and W2...Ch. 6 - The cable of length 15 m supports the forces...Ch. 6 - The 14-kN weight is suspended from a small pulley...Ch. 6 - For the cable ABCD determine (a) the angles 2 and...
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