Part B - The minimum required angular velocity when there is friction
Part B - The minimum required angular velocity when there is friction
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
Related questions
Question
1. If there is no friction between shaft AB and the collar, what angular velocity θ˙˙ must the
Express your answer to three significant figures.
2.
Consider the same mechanism again, with m=2.95 kg, d=225 mm, k=250 N/m, only now, instead of being smooth, the collar and shaft have a maximum coefficient of friction of μs=0.297. What is the minimum angular velocity required to keep the collar at a constant distance r=300 mm from the axis of rotation?
Express your answer to three significant figures.

Transcribed Image Text:Learning Goal:
To set up and analyze equations of motion in a
cylindrical coordinate system.
The mechanism shown in the figure below rotates
about the vertical axis. The collar has mass
m = 2.95 kg. The spring has an unstretched length
of 300 mm and the spring constant is k = 250 N/m.
The distance d = 225 mm, and the collar is required
to stay a fixed distance r = 300 mm from the vertical
axis.(Figure 1)
Figure
d
A
k
C
Q Search
B
1 of 1
Part A - The angular velocity for a smooth shaft
If there is no friction between shaft AB and the collar, what angular velocity must the mechanism have to keep the collar at
r = 300 mm from the vertical axis?
Express your answer to three significant figures.
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Submit
VE ΑΣΦ
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Part B - The minimum required angular velocity when there is friction
VE ΑΣΦ
↓↑
Consider the same mechanism again, with m = 2.95 kg, d = 225 mm, k = 250 N/m, only now, instead of being smooth, the
collar and shaft have a maximum coefficient of friction of μ = 0.297. What is the minimum angular velocity required to keep the
collar at a constant distance r = 300 mm from the axis of rotation?
Express your answer to three significant figures.
► View Available Hint(s)
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6/21/202
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