ENGINEERING MECHANICS Â?? STATICS
15th Edition
ISBN: 9780137519132
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
Chapter 3.3, Problem 41P
Determine the position x and the tension in the cord that is required for equilibrium. The cord passes through the smooth ring at B and has an unstretched length of 6ft and stiffness of k = 50 lb/ft.
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A crate weighs 530 lb and is hung by three ropes attached to
a steel ring at A such that the top surface is parallel to the
xy plane. Point A is located at a height of h = 42 in above
the top of the crate directly over the geometric center of the
top surface. Use the dimensions given in the table below to
determine the tension in each of the three ropes.
2013 Michael Swanbom
cc00
BY NC SA
↑ Z
C
b
B
У
a
D
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
30 in
b
43 in
4.5 in
The tension in rope AB is 383
x lb
The tension in rope AC is 156
x lb
The tension in rope AD is 156
x lb
A block of mass m hangs from the end of bar AB that is 7.2
meters long and connected to the wall in the xz plane. The
bar is supported at A by a ball joint such that it carries only a
compressive force along its axis. The bar is supported at end
B by cables BD and BC that connect to the xz plane at
points C and D respectively with coordinates given in the
figure. Cable BD is elastic and can be modeled as a linear
spring with a spring constant k = 400 N/m and unstretched
length of 6.34 meters.
Determine the mass m, the compressive force in beam AB
and the tension force in cable BC.
Z
C
D
(c, 0, d)
(a, 0, b)
A
B
y
f
m
cc 10
BY
NC SA
2016 Eric Davishahl
x
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
8.1 m
b
3.3 m
с
2.7 m
d
3.9 m
e
2 m
f
5.4 m
The mass of the block is 68.8
The compressive force in bar AB is
364
× kg.
× N.
The tension in cable BC is 393
× N.
Chapter 3 Solutions
ENGINEERING MECHANICS Â?? STATICS
Ch. 3.3 - In each case, draw a free-body diagram of the ring...Ch. 3.3 - Do not solve.Ch. 3.3 - Determine the force in each supporting cable.Ch. 3.3 - Determine the shortest cable ABC that can be used...Ch. 3.3 - Neglect the size of the pulley.Ch. 3.3 - Determine the unstretched length of the spring.Ch. 3.3 - If the mass of cylinder C is 40 kg, determine the...Ch. 3.3 - Also, find the angle .Ch. 3.3 - Determine the magnitudes of F1 and F2 for...Ch. 3.3 - Determine the magnitude of F1 and its angle for...
Ch. 3.3 - Determine the magnitude and direction of F so...Ch. 3.3 - The bottom one is subjected to a 125-N force at...Ch. 3.3 - If the forces are concurrent at point O, determine...Ch. 3.3 - Determine the tension force in member C and its...Ch. 3.3 - If the tension in AB is 60 lb, determine the...Ch. 3.3 - The cords ABC and BD can each support a maximum...Ch. 3.3 - Determine the maximum force F that can be...Ch. 3.3 - Determine the angle for equilibrium and the force...Ch. 3.3 - Prob. 11PCh. 3.3 - Determine the force in each of the cables AB and...Ch. 3.3 - Prob. 13PCh. 3.3 - The springs are shown in the equilibrium position.Ch. 3.3 - If the block is held in the equilibrium position...Ch. 3.3 - Note that s = 0 when the cylinders are removed.Ch. 3.3 - Prob. 17PCh. 3.3 - determine the stiffness of the spring to hold the...Ch. 3.3 - Take k = 180 N/m.Ch. 3.3 - If the spring has an unstretched length of 2 ft,...Ch. 3.3 - Cord AB is 2 ft long. Take k = 50 lb/ft.Ch. 3.3 - Determine the horizontal force F applied to the...Ch. 3.3 - Determine the displacement d of the cord from the...Ch. 3.3 - Determine the distances x and y for equilibrium if...Ch. 3.3 - Determine the magnitude of F1 and the distance y...Ch. 3.3 - Determine the force in each cord for equilibrium.Ch. 3.3 - Determine the largest mass of pipe that can be...Ch. 3.3 - If each light has a weight of 50 lb. determine the...Ch. 3.3 - Determine the tension developed in each cord...Ch. 3.3 - Determine the maximum mass of the lamp that the...Ch. 3.3 - If x = 2 m determine the force F and the sag s for...Ch. 3.3 - If F = 80 N. determine the sag s and distance x...Ch. 3.3 - Determine the tension in each cord and the angle ...Ch. 3.3 - Determine the largest weight of the lamp that can...Ch. 3.3 - Also, what is the force in cord AB? Hint: use the...Ch. 3.3 - Determine the position x and the tension developed...Ch. 3.3 - Prob. 37PCh. 3.3 - Take F = 300 N and d = 1 m.Ch. 3.3 - If a force of F = 100 N is applied horizontally to...Ch. 3.3 - If the cable can be attached at either points A...Ch. 3.3 - Determine the position x and the tension in the...Ch. 3.3 - The cord is fixed to a pin at A and passes over...Ch. 3.3 - Establish appropriate dimensions and use an...Ch. 3.3 - If the maximum tension that can be supported by...Ch. 3.3 - If the angle between AB and BC is 30, determine...Ch. 3.3 - If the distance BC is 1.5 m, and AB can support a...Ch. 3.4 - Determine the magnitude of forces F1, F2, F3, so...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - F310. Determine the tension developed in cables...Ch. 3.4 - Determine the tension in these wires.Ch. 3.4 - Determine the force developed in each cable for...Ch. 3.4 - Determine the magnitudes of F1, F2, and F3 for...Ch. 3.4 - If the bucket and its contents have a total weight...Ch. 3.4 - Each spring has on unstretched length of 2 m and a...Ch. 3.4 - Determine the force in each cable needed to...Ch. 3.4 - Determine the tension in the cables in order to...Ch. 3.4 - Determine the maximum mass of the crate so that...Ch. 3.4 - Determine the force in each cable if F = 500 lb.Ch. 3.4 - Determine the greatest force F that can be applied...Ch. 3.4 - Determine the tens on developed in cables AB and...Ch. 3.4 - Also, what is the force developed along strut AD?Ch. 3.4 - Determine the tension developed in each cable for...Ch. 3.4 - Determine the maximum weight of the crate that can...Ch. 3.4 - Prob. 56PCh. 3.4 - If each cord can sustain a maximum tension of 50 N...Ch. 3.4 - which has a mass of 15 kg. Take h = 4 m.Ch. 3.4 - Take h = 3.5 m.Ch. 3.4 - Determine the force in each chain for equilibrium....Ch. 3.4 - Determine the tension in each cable for...Ch. 3.4 - If the maximum force in each rod con not exceed...Ch. 3.4 - Determine the tension developed in each cable for...Ch. 3.4 - If cable AD is tightened by a turnbuckle and...Ch. 3.4 - If cable AD is tightened by a turnbuckle and...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - Determine the maximum weight of the crate so that...Ch. 3.4 - If the bolt exerts a force of 50 lb on the pipe in...Ch. 3.4 - Prob. 2RPCh. 3.4 - Determine the maximum weight of the flowerpot that...Ch. 3.4 - Determine the magnitude of the applied vertical...Ch. 3.4 - Prob. 5RPCh. 3.4 - Determine the magnitudes of F1, F2, and F3 for...Ch. 3.4 - Determine the force in each cable needed to...Ch. 3.4 - If cable AB is subjected to a tension of 700 N,...
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