Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 13.5, Problem 11FP
If the 10-kg ball has a velocity of 3m/ s when it is at the position A, along the vertical path, determine the tension in the cord and the increase in the speed of the ball at this position.
Prob. F13-11
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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 13 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 13.4 - The 10-kg block is subjected to the forces shown....Ch. 13.4 - The 10-kg block is subjected to the forces shown....Ch. 13.4 - Determine the initial acceleration of the 10-kg...Ch. 13.4 - Prob. 4PPCh. 13.4 - Prob. 1FPCh. 13.4 - If motor M exerts a force of F = (10t2 + 100) N on...Ch. 13.4 - A spring of stiffness k = 500 N/m is mounted...Ch. 13.4 - Prob. 5FPCh. 13.4 - Block B rests upon a smooth surface. If the...Ch. 13.4 - The 6-lb particle is subjected to the action of...
Ch. 13.4 - The two boxcars A and B have a weight of 20 000 lb...Ch. 13.4 - If the coefficient of kinetic friction between the...Ch. 13.4 - If the 50-kg crate starts from rest and achieves a...Ch. 13.4 - If blocks A and B of mass 10 kg and 6 kg...Ch. 13.4 - The 10-lb block has a speed of 4 ft/s when the...Ch. 13.4 - The 10-lb block has a speed of 4 ft/s when the...Ch. 13.4 - Prob. 8PCh. 13.4 - The conveyor belt is moving at 4 m/s. If the...Ch. 13.4 - The conveyor belt is designed to transport...Ch. 13.4 - Determine the time needed to pull the cord at B...Ch. 13.4 - Prob. 12PCh. 13.4 - Block A has a weight of 8 lb and block B has a...Ch. 13.4 - The 2-Mg truck is traveling at 15 m/s when the...Ch. 13.4 - The motor lifts the 50-kg crate with an...Ch. 13.4 - Prob. 16PCh. 13.4 - Prob. 17PCh. 13.4 - Prob. 18PCh. 13.4 - Prob. 19PCh. 13.4 - Prob. 20PCh. 13.4 - The conveyor belt delivers each 12-kg crate to the...Ch. 13.4 - The 50-kg block A is released from rest. Determine...Ch. 13.4 - Prob. 23PCh. 13.4 - Prob. 24PCh. 13.4 - Prob. 25PCh. 13.4 - The 1.5 Mg sports car has a tractive force of F =...Ch. 13.4 - Prob. 27PCh. 13.4 - Prob. 28PCh. 13.4 - Prob. 29PCh. 13.4 - Prob. 30PCh. 13.4 - Prob. 31PCh. 13.4 - The tractor is used to lift the 150-kg load B with...Ch. 13.4 - Prob. 33PCh. 13.4 - Prob. 34PCh. 13.4 - Prob. 35PCh. 13.4 - Prob. 36PCh. 13.4 - The 10-kg block A rests on the 50-kg p late B in...Ch. 13.4 - The 300-kg bar B, originally at rest, is being...Ch. 13.4 - Prob. 39PCh. 13.4 - The 400-lb cylinder at A is hoisted using the...Ch. 13.4 - Prob. 41PCh. 13.4 - Block A has a mass mA and is attached to a spring...Ch. 13.4 - Prob. 43PCh. 13.4 - If the motor draws in the cable with an...Ch. 13.4 - If the force exerted on cable AB by the motor is F...Ch. 13.4 - Prob. 46PCh. 13.4 - Prob. 47PCh. 13.4 - Prob. 48PCh. 13.4 - If a horizontal force P = 12lb is applied to block...Ch. 13.4 - Prob. 50PCh. 13.4 - Prob. 51PCh. 13.5 - Set up the n, t axes and write the equations of...Ch. 13.5 - Prob. 6PPCh. 13.5 - The block rests at a distance of 2 m from the...Ch. 13.5 - Determine the maximum speed that the jeep can...Ch. 13.5 - A pilot weighs 150 lb and is traveling at a...Ch. 13.5 - The sports car is traveling along a 30 banked road...Ch. 13.5 - If the 10-kg ball has a velocity of 3m/ s when it...Ch. 13.5 - Prob. 12FPCh. 13.5 - Prob. 52PCh. 13.5 - Prob. 53PCh. 13.5 - The 2-kg block B and 15-kg cylinder A are...Ch. 13.5 - Determine the maximum constant speed at which the...Ch. 13.5 - Cartons having a mass of 5 kg are required to move...Ch. 13.5 - Prob. 57PCh. 13.5 - The 2-kg spool S fits loosely on the inclined rod...Ch. 13.5 - Prob. 59PCh. 13.5 - Prob. 60PCh. 13.5 - At the instant B = 60, the boys center of mass G...Ch. 13.5 - Prob. 62PCh. 13.5 - Prob. 63PCh. 13.5 - Prob. 64PCh. 13.5 - Prob. 65PCh. 13.5 - Prob. 66PCh. 13.5 - Prob. 67PCh. 13.5 - The 0.8-Mg car travels over the hill having the...Ch. 13.5 - The 0.8-Mg car travels over the hill having the...Ch. 13.5 - The package has a weight of 5 lb and slides down...Ch. 13.5 - The 150-lb man lies against the cushion for which...Ch. 13.5 - The 150-lb man lies against the cushion for which...Ch. 13.5 - Determine the maximum speed at which the car with...Ch. 13.5 - Determine the maximum constant speed at which the...Ch. 13.5 - The box has a mass m and slides down the smooth...Ch. 13.5 - Prob. 76PCh. 13.5 - Prob. 77PCh. 13.5 - Prob. 78PCh. 13.5 - The airplane, traveling at a constant speed of 50...Ch. 13.5 - Prob. 80PCh. 13.5 - Prob. 81PCh. 13.5 - Prob. 82PCh. 13.5 - The ball has a mass m and is attached to the cord...Ch. 13.6 - The 2-lb block is released from rest at A and...Ch. 13.6 - Determine the constant angular velocity of the...Ch. 13.6 - The 0.2-kg ball is blown through the smooth...Ch. 13.6 - The 2-Mg car is traveling along the curved road...Ch. 13.6 - The 0.2-kg pin P is constrained to move in the...Ch. 13.6 - The spring-held follower AB has a weight of 0.75...Ch. 13.6 - Determine the magnitude of the resultant force...Ch. 13.6 - The path of motion of a 5-lb particle in the...Ch. 13.6 - Rod OA rotates counterclockwise with a constant...Ch. 13.6 - The boy of mass 40 kg is sliding down the spiral...Ch. 13.6 - Using a forked rod, a 0.5-kg smooth peg P is...Ch. 13.6 - The arm is rotating at a rate of = 4 rad/s when ...Ch. 13.6 - If arm OA rotates with a constant clockwise...Ch. 13.6 - Determine the normal and frictional driving forces...Ch. 13.6 - A smooth can C, having a mass of 3 kg, is lifted...Ch. 13.6 - The spring-held follower AB has a mass of 0.5 kg...Ch. 13.6 - The spring-held follower AB has a mass of 0.5 kg...Ch. 13.6 - The particle has a mass of 0.5 kg and is confined...Ch. 13.6 - A car of a roller coaster travels along a track...Ch. 13.6 - The 0.5-lb ball is guided along the vertical...Ch. 13.6 - The ball of mass misguided along the vertical...Ch. 13.6 - Prob. 102PCh. 13.6 - The pilot of the airplane executes a vertical loop...Ch. 13.6 - The collar has a mass of 2 kg and travels along...Ch. 13.6 - The particle has a mass of 0.5 kg and is confined...Ch. 13.6 - Solve Prob. 13-105 If the arm has an angular...Ch. 13.6 - The forked rod is used to move the smooth 2-lb...Ch. 13.6 - The collar, which has a weight of 3 lb. slides...Ch. 13.6 - Prob. 109PCh. 13.6 - Prob. 110PCh. 13.7 - The pilot of an airplane executes a vertical loop...Ch. 13.7 - Prob. 113PCh. 13.7 - A communications satellite is in a circular orbit...Ch. 13.7 - Prob. 115PCh. 13.7 - Prob. 116PCh. 13.7 - Prob. 117PCh. 13.7 - Prob. 118PCh. 13.7 - Prob. 119PCh. 13.7 - Prob. 120PCh. 13.7 - The rocket is in free flight along an elliptical...Ch. 13.7 - Prob. 122PCh. 13.7 - Prob. 123PCh. 13.7 - Prob. 124PCh. 13.7 - Prob. 126PCh. 13.7 - Prob. 127PCh. 13.7 - Prob. 128PCh. 13.7 - Prob. 129PCh. 13.7 - Prob. 130PCh. 13.7 - Prob. 131PCh. 13.7 - The rocket is traveling around the earth in free...Ch. 13.7 - Prob. 3CPCh. 13.7 - Prob. 1RPCh. 13.7 - Prob. 2RPCh. 13.7 - Block B rests on a smooth surface. If the...Ch. 13.7 - Prob. 4RPCh. 13.7 - Prob. 5RPCh. 13.7 - The bottle rests at a distance of 3ft from the...Ch. 13.7 - Prob. 7RP
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