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 mmmmmm < 1 of 1 > C B ▼ 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) = 1.86 rad/s Submit ✓ Correct Notice that this angular velocity is less than that found in Part A, as expected. Previous Answers Part C - The maximum allowable angular velocity when there is friction Consider the same mechanism again, with m = 2.95 kg, d = 225 mm, k = 250 N/m, and μ = 0.297. What is the maximum angular velocity allowable if the collar is to remain at a constant distance r = 300 mm from the axis of rotation? Express your answer to three significant figures. ► View Available Hint(s) ė= Submit 197| ΑΣΦ. 11. vec Request Answer < Return to Assignment 3 Provide Feedback ? rad/s
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 mmmmmm < 1 of 1 > C B ▼ 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) = 1.86 rad/s Submit ✓ Correct Notice that this angular velocity is less than that found in Part A, as expected. Previous Answers Part C - The maximum allowable angular velocity when there is friction Consider the same mechanism again, with m = 2.95 kg, d = 225 mm, k = 250 N/m, and μ = 0.297. What is the maximum angular velocity allowable if the collar is to remain at a constant distance r = 300 mm from the axis of rotation? Express your answer to three significant figures. ► View Available Hint(s) ė= Submit 197| ΑΣΦ. 11. vec Request Answer < Return to Assignment 3 Provide Feedback ? rad/s
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
Consider the same mechanism again, with m=2.95 kg, d=225 mm, k=250 N/m, and μs=0.297. What is the maximum angular velocity allowable if the collar is to remain 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.
### Problem Description:
The mechanism shown in the figure below rotates about the vertical axis. The collar has mass \( m = 2.95 \, \text{kg} \). The spring has an unstretched length of 300 mm and the spring constant is \( k = 250 \, \text{N/m} \). The distance \( d = 225 \, \text{mm} \), and the collar is required to stay a fixed distance \( r = 300 \, \text{mm} \) from the vertical axis. (Figure 1)
#### Figure Description:
The figure displays a vertical axis \( z \) and a mechanism rotating about this axis. The collar is positioned at point C, a fixed distance \( r \) from the vertical axis. A spring with constant \( k \) is attached from a fixed point on the vertical axis to point C. The distance \( d \) is defined vertically from the pivot point A to the attachment base of the spring. The angular velocity about the vertical axis is denoted as \( \dot{\theta} \).
### Part B - The minimum required angular velocity when there is friction
Consider the same mechanism again, with \( m = 2.95 \, \text{kg} \), \( d = 225 \, \text{mm} \), \( k = 250 \, \text{N/m} \). Now, instead of being smooth, the collar and shaft have a maximum coefficient of friction of \( \mu_s = 0.297 \). What is the minimum angular velocity required to keep the collar at a constant distance \( r = 300 \, \text{mm} \) from the axis of rotation?
**Express your answer to three significant figures.**
#### Answer:
\[ \dot{\theta} = 1.86 \, \text{rad/s} \]
*Correct:* Notice that this angular velocity is less than that found in Part A, as expected.
### Part C - The maximum allowable angular velocity when there is friction
Consider the same mechanism again, with \( m = 2.95 \, \text{kg} \), \( d = 225 \, \text{mm} \), \( k = 250 \, \text{N/m} \), and \( \mu_s = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5f3e4ce-f46c-48a5-a74c-9a62ffe7be87%2Fc51f6dbd-052a-4fca-b0a2-0f115ed4eccf%2Fv7jgwl_processed.png&w=3840&q=75)
Transcribed Image Text:### Learning Goal:
To set up and analyze equations of motion in a cylindrical coordinate system.
### Problem Description:
The mechanism shown in the figure below rotates about the vertical axis. The collar has mass \( m = 2.95 \, \text{kg} \). The spring has an unstretched length of 300 mm and the spring constant is \( k = 250 \, \text{N/m} \). The distance \( d = 225 \, \text{mm} \), and the collar is required to stay a fixed distance \( r = 300 \, \text{mm} \) from the vertical axis. (Figure 1)
#### Figure Description:
The figure displays a vertical axis \( z \) and a mechanism rotating about this axis. The collar is positioned at point C, a fixed distance \( r \) from the vertical axis. A spring with constant \( k \) is attached from a fixed point on the vertical axis to point C. The distance \( d \) is defined vertically from the pivot point A to the attachment base of the spring. The angular velocity about the vertical axis is denoted as \( \dot{\theta} \).
### Part B - The minimum required angular velocity when there is friction
Consider the same mechanism again, with \( m = 2.95 \, \text{kg} \), \( d = 225 \, \text{mm} \), \( k = 250 \, \text{N/m} \). Now, instead of being smooth, the collar and shaft have a maximum coefficient of friction of \( \mu_s = 0.297 \). What is the minimum angular velocity required to keep the collar at a constant distance \( r = 300 \, \text{mm} \) from the axis of rotation?
**Express your answer to three significant figures.**
#### Answer:
\[ \dot{\theta} = 1.86 \, \text{rad/s} \]
*Correct:* Notice that this angular velocity is less than that found in Part A, as expected.
### Part C - The maximum allowable angular velocity when there is friction
Consider the same mechanism again, with \( m = 2.95 \, \text{kg} \), \( d = 225 \, \text{mm} \), \( k = 250 \, \text{N/m} \), and \( \mu_s = 0.
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