Part B - The minimum required angular velocity when there is friction

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
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1. If there is no friction between shaft AB and the collar, what angular velocity θ˙˙  must the mechanism have to keep the collar at r=300 mm from the vertical axis?

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.
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.
► View Available Hint(s)
Submit
VE ΑΣΦ
Submit
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)
< Return to Assignment
Part C Complete previous part(s)
79
vec
↓↑
?
vec
Provide Feedback
rad/s
?
rad/s
<
11:58 P
6/21/202
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. ► View Available Hint(s) Submit VE ΑΣΦ Submit 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) < Return to Assignment Part C Complete previous part(s) 79 vec ↓↑ ? vec Provide Feedback rad/s ? rad/s < 11:58 P 6/21/202
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