Engineering Mechanics: Dynamics; Modified Mastering Engineering with Pearson eText -- Standalone Access Card -- for Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780134229294
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
Chapter 16.4, Problem 50P
Determine the angular velocity ω and angular acceleration α of the bar. Neglect the thickness of the bar.
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got wrong answers help please
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 16 Solutions
Engineering Mechanics: Dynamics; Modified Mastering Engineering with Pearson eText -- Standalone Access Card -- for Engineering Mechanics: Dynamics (14th Edition)
Ch. 16.3 - Determine its constant angular acceleration and...Ch. 16.3 - Determine the angular acceleration when it has...Ch. 16.3 - Determine the time it takes to achieve an angular...Ch. 16.3 - If the angular displacement of the wheel is =...Ch. 16.3 - Determine the magnitude of the velocity and...Ch. 16.3 - Determine the velocity of the cylinder and the...Ch. 16.3 - Determine the magnitudes of the velocity and...Ch. 16.3 - If the disk is originally rotating at 0 = 12...Ch. 16.3 - It it is subjected to a constant angular...Ch. 16.3 - If it is subjected to a constant angular...
Ch. 16.3 - Determine the number of revolutions, the angular...Ch. 16.3 - Determine the number of revolutions it must...Ch. 16.3 - Also, find the number of revolutions of gear D to...Ch. 16.3 - Gears A, B, C, and D have radii of 15 mm, 50 mm,...Ch. 16.3 - Determine the magnitude of acceleration of point B...Ch. 16.3 - pulley A is given a constant angular acceleration...Ch. 16.3 - Starting from rest, determine the angular...Ch. 16.3 - If the engine turns pulley A at A = (20t + 40)...Ch. 16.3 - If the engine turns pulley A at A = 60 rad/s,...Ch. 16.3 - Determine the angular velocity of the disk and its...Ch. 16.3 - Determine the magnitudes of the normal and...Ch. 16.3 - Determine the magnitudes of the normal and...Ch. 16.3 - If this gear is initially turning at A = 15 rad/s,...Ch. 16.3 - If this gear is initially turning at A = 15 rad/s,...Ch. 16.3 - Determine the brushs angular velocity when t = 4...Ch. 16.3 - If this gear is initially turning at (A)0 = 20...Ch. 16.3 - Determine the magnitudes of the velocity and the n...Ch. 16.3 - If the motor turns gear A with an angular...Ch. 16.3 - If the motor turns gear A with an angular...Ch. 16.3 - and the meshed pinion gear B on the propeller...Ch. 16.3 - determine the magnitude of the velocity and...Ch. 16.3 - If the gears A and have the dimensions shown,...Ch. 16.3 - and the meshed pinion gear B on the propeller...Ch. 16.3 - and the meshed pinion gear B on the propeller...Ch. 16.3 - If the canisters are centered 200 mm apart on the...Ch. 16.3 - Determine the largest angular velocity of gear B...Ch. 16.3 - The shaft of the motor M turns with an angular...Ch. 16.3 - If A has a constant angular acceleration of A = 30...Ch. 16.3 - If the angular displacement of A it A = (5t3 +...Ch. 16.3 - This gear is connected to gear B, which is fixed...Ch. 16.3 - Express the result in Cartesian vector form.Ch. 16.3 - Determine the velocity and acceleration of point D...Ch. 16.3 - At the instant shown it is rotating about the y...Ch. 16.3 - Determine the magnitudes of the velocity and...Ch. 16.4 - Determine the angular velocity and angular...Ch. 16.4 - Determine the angular acceleration and angular...Ch. 16.4 - Determine the angular acceleration and angular...Ch. 16.4 - Determine the angular velocity and angular...Ch. 16.4 - Determine the angular velocity of the connecting...Ch. 16.4 - The cam rotates with a constant counterclockwise...Ch. 16.4 - The pin connection at O does not cause an...Ch. 16.4 - Determine the velocity of the follower rod AB as...Ch. 16.4 - The pin connection at O does not cause an...Ch. 16.4 - Determine the velocity and acceleration of the peg...Ch. 16.4 - Determine the velocity and acceleration of block...Ch. 16.4 - Determine the angular velocity and angular...Ch. 16.4 - If the slotted arm is causing A to move downward...Ch. 16.4 - If the wedge moves to the left with a constant...Ch. 16.4 - If the rollers do not slip, determine their...Ch. 16.4 - If no slipping occurs between the disk D and the...Ch. 16.4 - Determine the velocity and acceleration of...Ch. 16.5 - If roller A moves to the right with a constant...Ch. 16.5 - Determine the magnitude of the velocity of point B...Ch. 16.5 - The cable wraps around the inner core, and the...Ch. 16.5 - If crank OA rotates with an angular velocity of =...Ch. 16.5 - If rod AB slides along the horizontal slot with a...Ch. 16.5 - Determine the velocity of the peg at B at this...Ch. 16.5 - Determine the velocity of point B at this instant.Ch. 16.5 - If the block at C is moving downward at 4 ft/s,...Ch. 16.5 - Determine the velocity of block C and the angular...Ch. 16.5 - Determine the angular velocities of links A B and...Ch. 16.5 - Also, sketch the position of link BC when = 55,...Ch. 16.5 - Link BC rotates clockwise with an angular velocity...Ch. 16.5 - If the angular velocity of link AB is AB = 3...Ch. 16.5 - Determine the velocity of the gear rack C.Ch. 16.5 - If B is moving to the right at 8 ft/s and C is...Ch. 16.5 - Determine the angular velocity of the gear and the...Ch. 16.5 - Determine the velocity of point A on the rim of...Ch. 16.5 - Link CB is horizontal at this instant.Ch. 16.5 - Determine the velocity of the slider C at the...Ch. 16.5 - Determine the velocity of block C and the angular...Ch. 16.5 - If AB has an angular velocity AB = 8 rad/s,...Ch. 16.5 - If the slider block A is moving downward at vA = 4...Ch. 16.5 - If the slider block A is moving downward at A = 4...Ch. 16.5 - This gear has an inner hub C which is fixed to B...Ch. 16.5 - If link AB is rotating at AB =3 rad/s, determine...Ch. 16.5 - If link CD is rotating at CD = 5 rad/s, determine...Ch. 16.5 - By locking or releasing certain gears, it has the...Ch. 16.5 - If the ring gear A rotates clockwise with an...Ch. 16.5 - It consists of a driving piston A, three links,...Ch. 16.5 - Because of the rotational motion of lint AB and...Ch. 16.6 - Establish the location of the instantaneous center...Ch. 16.6 - Determine the angular velocity of the rod and the...Ch. 16.6 - Determine the angular velocity of link BC and...Ch. 16.6 - The gear rack B is fixed.Ch. 16.6 - If cable AB is unwound with a speed of 3 m/s, and...Ch. 16.6 - Determine the angular velocity of link BC and the...Ch. 16.6 - Determine the angular velocity of links BC and CD...Ch. 16.6 - Assume the geometry is known.Ch. 16.6 - Determine the angular velocity of link AB at the...Ch. 16.6 - Determine the angular velocity of the link CB at...Ch. 16.6 - Determine the velocities of the cylinders center C...Ch. 16.6 - Determine the velocities of points A and B on the...Ch. 16.6 - Determine the velocities of points A and B.Ch. 16.6 - If rod CD is rotating with an angular velocity CD...Ch. 16.6 - If bar AB has an angular velocity AB = 6 rad/s,...Ch. 16.6 - Under these conditions, what is the speed at A if...Ch. 16.6 - Due to slipping, points A and B on the rim of the...Ch. 16.6 - Determine the velocities of the center point C and...Ch. 16.6 - Determine the velocity of point D and the angular...Ch. 16.6 - Determine the velocity of point P, and the angular...Ch. 16.6 - If connected bar CD is rotating with an angular...Ch. 16.6 - Determine the speeds of points A, B, and C caused...Ch. 16.6 - Determine the velocity of the gear rack C.Ch. 16.6 - If the hub gear H and ring gear R have angular...Ch. 16.6 - What is the angular velocity of the spur gear?Ch. 16.6 - Determine the angular velocity of rod CD at the...Ch. 16.6 - If bar CD is rotating with an angular velocity of...Ch. 16.6 - If the link rotates about the fixed point B at 4...Ch. 16.7 - if the sun gear D is rotating clockwise at D = 5...Ch. 16.7 - The angular velocity is given.Ch. 16.7 - Determine the angular acceleration of the rod and...Ch. 16.7 - Determine the acceleration of point A.Ch. 16.7 - At the instant shown, the center O of the gear...Ch. 16.7 - Determine the angular acceleration of the gear at...Ch. 16.7 - Determine the angular acceleration of link BC at...Ch. 16.7 - Determine the angular acceleration of link BC and...Ch. 16.7 - Determine the velocity sod acceleration of the...Ch. 16.7 - Determine the acceleration of the top of the...Ch. 16.7 - Determine the acceleration of the bottom A of the...Ch. 16.7 - Determine the velocity and acceleration of the...Ch. 16.7 - Determine the velocity and acceleration of the...Ch. 16.7 - At the instant shown, point A has the motion...Ch. 16.7 - Determine the angular velocity and angular...Ch. 16.7 - Determine the angular velocity and angular...Ch. 16.7 - Determine the angular acceleration of link AB and...Ch. 16.7 - Determine the angular acceleration of link CD if...Ch. 16.7 - Determine the velocity and acceleration of point A...Ch. 16.7 - Determine the velocity and acceleration of point B...Ch. 16.7 - If it is pulled with a constant velocity v,...Ch. 16.7 - If it does not slip at A, determine the...Ch. 16.7 - If it does not slip at A, determine the...Ch. 16.7 - As cord CF unwinds from the inner rim of the...Ch. 16.7 - Determine the velocity and acceleration of point B...Ch. 16.7 - Determine the angular velocity and angular...Ch. 16.7 - If link DE has the angular motion shown, determine...Ch. 16.7 - If member AB has the angular motion shown,...Ch. 16.7 - If member AB has the angular motion shown,...Ch. 16.7 - Determine the acceleration of points A and B on...Ch. 16.7 - At a given instant, A has a velocity of vA = 4...Ch. 16.7 - Determine the angular acceleration of rod AB at...Ch. 16.8 - Determine the acceleration of A at the instant...Ch. 16.8 - If at the same instant the disk has the angular...Ch. 16.8 - At the same instant, the boom is extending with a...Ch. 16.8 - Prob. 131PCh. 16.8 - Prob. 132PCh. 16.8 - Determine the velocity and acceleration of a water...Ch. 16.8 - At the instant shown, the cord is pulled down...Ch. 16.8 - Prob. 135PCh. 16.8 - Determine the velocity and acceleration of point C...Ch. 16.8 - Prob. 137PCh. 16.8 - Determine the magnitudes of the velocity and...Ch. 16.8 - If link AD is rotating at a constant rate of AD =...Ch. 16.8 - Determine the angular velocity and angular...Ch. 16.8 - If rod AB has an angular velocity of 2 rad/s and...Ch. 16.8 - Prob. 142PCh. 16.8 - If the gears center O moves with the velocity and...Ch. 16.8 - Prob. 144PCh. 16.8 - Prob. 145PCh. 16.8 - Also at this instant the car mounted at the end of...Ch. 16.8 - If the slider block C is fixed to the disk that...Ch. 16.8 - Determine the velocity and acceleration of car A...Ch. 16.8 - Determine the velocity and acceleration of car B...Ch. 16.8 - Link AB has a pin at B which is confined to move...Ch. 16.8 - Prob. 151PCh. 16.8 - The star wheel A makes one sixth of a revolution...Ch. 16.8 - If the tires do not slip on the pavement,...Ch. 16.8 - Determine the velocity and deceleration of the...Ch. 16.8 - Determine the speed of block B when it has risen s...Ch. 16.8 - At the instant shown, it has an acceleration of...Ch. 16.8 - If bar AB has an angular velocity AB = 6 rad/s,...Ch. 16.8 - If the cable does not slip on the pulley's...Ch. 16.8 - Determine the acceleration of the pin at C and the...Ch. 16.8 - If it does not slip at A, determine the...Ch. 16.8 - Determine the velocity and acceleration of the...
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