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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 $m = 4$ kg. The spring has an unstretched length of 480 mm and the spring constant is $k = 240$ N/m. The distance $d = 280$ mm, and the collar is required to stay a fixed distance $r = 960$ mm from the vertical axis. (Figure 1) Figure $\dot{\theta} = 5.59$ rad/s Submit Previous Answers ? Correct Part B - The minimum required angular velocity when there is friction Consider the same mechanism again, with $m = 4$ kg, $d = 280$ mm, $k = 240$ N/m, only now, instead of being smooth, the collar and shaft have a maximum coefficient of friction of $\mu = 1.198$. What is the minimum angular velocity required to keep the collar at a constant distance $r = 960$ mm from the axis of rotation? Express your answer to three significant figures. ? View Available Hint(s) $\dot{\theta} = 88.9$ rad/s Submit Previous Answers Request Answer Incorrect; Try Again; 4 attempts remaining Part C Complete previous part(s) Provide Feedback Next >

          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 $m = 4$ kg. The spring has an
unstretched length of 480 mm and the spring constant is
$k = 240$ N/m. The distance $d = 280$ mm, and the collar is
required to stay a fixed distance $r = 960$ mm from the vertical
axis. (Figure 1)
Figure
$\dot{\theta} = 5.59$ rad/s
Submit Previous Answers
? Correct
Part B - The minimum required angular velocity when there is friction
Consider the same mechanism again, with $m = 4$ kg, $d = 280$ mm, $k = 240$ N/m, only now, instead of being smooth, the collar and shaft have a maximum
coefficient of friction of $\mu = 1.198$. What is the minimum angular velocity required to keep the collar at a constant distance $r = 960$ mm from the axis of
rotation?
Express your answer to three significant figures.
? View Available Hint(s)
$\dot{\theta} = 88.9$ rad/s
Submit Previous Answers Request Answer
Incorrect; Try Again; 4 attempts remaining
Part C Complete previous part(s)
Provide Feedback
Next >

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 = 4 kg. The spring has an
unstretched length of 480 mm and the spring constant is
k = 240 N/m. The distance d = 280 mm, and the collar is
required to stay a fixed distance r = 960 mm from the vertical
axis. (Figure 1)
Figure
θ̇ = 5.59 rad/s
Submit Previous Answers
? Correct
Part B - The minimum required angular velocity when there is friction
Consider the same mechanism again, with m = 4 kg, d = 280 mm, k = 240 N/m, only now, instead of being smooth, the collar and shaft have a maximum
coefficient of friction of μ = 1.198. What is the minimum angular velocity required to keep the collar at a constant distance r = 960 mm from the axis of
rotation?
Express your answer to three significant figures.
? View Available Hint(s)
θ̇ = 88.9 rad/s
Submit Previous Answers Request Answer
Incorrect; Try Again; 4 attempts remaining
Part C Complete previous part(s)
Provide Feedback
Next >

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