Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 20.4, Problem 51P
To determine
The velocity of package
The acceleration of package
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At the instant shown in the figure below, the arm AB of the conveyor belt is rotating about the Y axis with a constant angular velocity ω1 = 12 rad/s, while the arm is rotating upward at a constant rate ω2 = 8 rad/s. At that instant, the package is a distance r = 12 m from A, and the conveyor belt is running at a constant speed of ̇r = 10 m/s. Determine the velocity and acceleration of the package P at the instant shown. Neglect the size of the package.
The cars on the amusement-park ride rotate around the axle at A with a constant angular
velocity wa/f
= 2 rad/s, measured relative to the frame AB. At the same time the frame rotates
around the main axle support at B with a constant angular velocity wf = 1 rad/s. Determine the
velocity and acceleration of the passenger at C at the instant shown.
D
8 ft-
WA/f = 2 rad/s/
8 ft
15 ft
wf = 1 rad/s
O)B
X
At the instant shown, the arm OA of the conveyor belt is
rotating about the z axis with a constant angular velocity
w 6.5 rad/s, while at the same instant the arm is
rotating upward at a constant rate w₂=3.9 rad/s
(Figure 1)
Figure
0-45°
▼ Part A
If the conveyor is running at a rate r = 5 ft/s, which is increasing at
F-8 ft/s². determine the velocity of the package Pat the instant shown.
Neglect the size of the package.
Enter the z, y, and z components of the velocity in feeet per second to
three significant figures separated by commas.
vp
Part B
Submit
LVE| ΑΣΦ | 11
ap
vec
Submit
Request Answer
Determine the acceleration of the package P at the instant shown
Enter the z, y, and a components of the acceleration in feet per second
squared to three significant figures separated by commas.
IVE] ΑΣΦ | 11
vec
52 C
Request Answer
ft/s
?
ft/s²
Chapter 20 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 20.3 - Prob. 1PCh. 20.3 - Prob. 2PCh. 20.3 - Prob. 3PCh. 20.3 - Prob. 4PCh. 20.3 - Prob. 5PCh. 20.3 - Prob. 6PCh. 20.3 - Prob. 7PCh. 20.3 - The disk rotates about the shaft S, while the...Ch. 20.3 - The electric fan is mounted on a swivel support...Ch. 20.3 - Prob. 11P
Ch. 20.3 - Prob. 12PCh. 20.3 - The right circular cone rotates about the z axis...Ch. 20.3 - Prob. 14PCh. 20.3 - Prob. 15PCh. 20.3 - Prob. 16PCh. 20.3 - Prob. 17PCh. 20.3 - Prob. 18PCh. 20.3 - Prob. 20PCh. 20.3 - Prob. 21PCh. 20.3 - Prob. 22PCh. 20.3 - Prob. 23PCh. 20.3 - Prob. 24PCh. 20.3 - Prob. 25PCh. 20.3 - Rod AB is attached to collars at its ends by using...Ch. 20.3 - Rod AB is attached to collars at its ends by using...Ch. 20.3 - If the rod is attached with ball-and-socket joints...Ch. 20.3 - Prob. 29PCh. 20.3 - If collar A has a speed vA = 4 m/s, determine the...Ch. 20.3 - Prob. 31PCh. 20.3 - If the collar A in Prob. 20-31 has a deceleration...Ch. 20.3 - Prob. 33PCh. 20.3 - Rod CD is attached to the rotating arms using...Ch. 20.3 - Prob. 35PCh. 20.3 - Prob. 36PCh. 20.4 - So1ve Example 20.5 such that the x, y, z axes move...Ch. 20.4 - Prob. 38PCh. 20.4 - Prob. 39PCh. 20.4 - At the instant = 60, the construction lift is...Ch. 20.4 - Prob. 41PCh. 20.4 - Prob. 42PCh. 20.4 - Prob. 43PCh. 20.4 - Prob. 44PCh. 20.4 - Prob. 45PCh. 20.4 - Prob. 46PCh. 20.4 - Prob. 47PCh. 20.4 - At the given instant the rod is turning about the...Ch. 20.4 - Prob. 49PCh. 20.4 - Prob. 50PCh. 20.4 - Prob. 51PCh. 20.4 - Prob. 52PCh. 20.4 - Prob. 53PCh. 20.4 - At the instant shown, the arm AB is rotating about...
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