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.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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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. 

@=12 rad/s.
A
Z
Y
10 m/s P
r=12 m
0 = 45°
@)₂ = 8 rad/s
B
X
Transcribed Image Text:@=12 rad/s. A Z Y 10 m/s P r=12 m 0 = 45° @)₂ = 8 rad/s B X
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