In a facility that processes consumer shipr certain packages are redirected by the trac pictured. A motor (not pictured) is mounted the flat, horizontal surface, and drives the rotate and push one package at a time aro curve. The curved portion of the track is de by the equation r(0) = 5(2 + sin(0)) ft. T

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Q1
r(0)
arm
Top View
track
Problem Statement:
In a facility that processes consumer shipments,
certain packages are redirected by the track
pictured. A motor (not pictured) is mounted below
the flat, horizontal surface, and drives the arm to
rotate and push one package at a time around the
curve. The curved portion of the track is described
by the equation r(0) = 5(2 + sin(0)) ft. The
%3D
package weighs 3 lb. Neglecting friction and the
Transcribed Image Text:r(0) arm Top View track Problem Statement: In a facility that processes consumer shipments, certain packages are redirected by the track pictured. A motor (not pictured) is mounted below the flat, horizontal surface, and drives the arm to rotate and push one package at a time around the curve. The curved portion of the track is described by the equation r(0) = 5(2 + sin(0)) ft. The %3D package weighs 3 lb. Neglecting friction and the
pictured. A motor (not pictured) is mounted below
the flat, horizontal surface, and drives the arm to
rotate and push one package at a time around the
curve. The curved portion of the track is described
by the equation r(0) = 5(2 + sin(0)) ft. The
package weighs 3 lb. Neglecting friction and the
size of the package, determine the following when
0 = 51°, 0 = 9.7 rad/s and 0 = 0.3 rad/s²:
Tip: The track is drawn to scale. Consider printing
the figure, drawing the arm at your value of 0, then
drawing the unit vectors accordingly. The answers
depend on proper definition of the unit vectors.
You can enlarge the figure by clicking on it.
Answers (with units):
The value of i :
The value of i:
The angle between the arm and the direction of
package motion (i.e. the angle y):
The normal force between the package and the
track:
The normal force between the package and the
arm:
Transcribed Image Text:pictured. A motor (not pictured) is mounted below the flat, horizontal surface, and drives the arm to rotate and push one package at a time around the curve. The curved portion of the track is described by the equation r(0) = 5(2 + sin(0)) ft. The package weighs 3 lb. Neglecting friction and the size of the package, determine the following when 0 = 51°, 0 = 9.7 rad/s and 0 = 0.3 rad/s²: Tip: The track is drawn to scale. Consider printing the figure, drawing the arm at your value of 0, then drawing the unit vectors accordingly. The answers depend on proper definition of the unit vectors. You can enlarge the figure by clicking on it. Answers (with units): The value of i : The value of i: The angle between the arm and the direction of package motion (i.e. the angle y): The normal force between the package and the track: The normal force between the package and the arm:
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