cudent does not immediately slip?
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![A student of mass M stands on a rigid disk at a distance r from the center axis. Assume
that the coefficient of friction between the student's shoes and the disk surface is µ. At
time t = 0, the disk begins to rotate with a constant angular acceleration rate a = ë.
Assume that gravity acts with constant acceleration g downward.
0 =
M
r
a. [. ] What is the maximum value of angular acceleration rate (amax) such
that the student does not immediately slip?
b. [..] Assuming that a < amax, what is the total friction force acting on the
student as a function of time (prior to slipping)? Write your answer as a vector
in polar coordinates.
c. :: ]Assuming that a < amax, how long after the disk starts rotating will the
student slip?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0cd803fb-6ce6-49fa-bdc4-ee3ee5121d2d%2F8de650e4-f6c2-473d-8a81-1fd8f7a7bdc3%2F8n5x6o3_processed.png&w=3840&q=75)
Transcribed Image Text:A student of mass M stands on a rigid disk at a distance r from the center axis. Assume
that the coefficient of friction between the student's shoes and the disk surface is µ. At
time t = 0, the disk begins to rotate with a constant angular acceleration rate a = ë.
Assume that gravity acts with constant acceleration g downward.
0 =
M
r
a. [. ] What is the maximum value of angular acceleration rate (amax) such
that the student does not immediately slip?
b. [..] Assuming that a < amax, what is the total friction force acting on the
student as a function of time (prior to slipping)? Write your answer as a vector
in polar coordinates.
c. :: ]Assuming that a < amax, how long after the disk starts rotating will the
student slip?
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