In a popular amusement park ride, a rotating cylinder of radius R = 3.30 m is se
ID: 1458107 • Letter: I
Question
In a popular amusement park ride, a rotating cylinder of radius R = 3.30 m is set in rotation at an angular speed of rad/s, as in Figure shown below. The floor then drops away, leaving the riders suspended against the wall in a vertical position. What minimum coefficient of friction between a rider's clothing and the wall is needed to keep the rider from slipping? Hint: Recall that the magnitude of the maximum force of static friction is equal to , where n is the normal force-in this case, the force causing the centrifugal acceleration.Explanation / Answer
in horizontal ,
N = m w^2 R =m x 5.70^2 x 3.30 = 107.217m
in vertical using,
f = mg
uN = mg
u( 107.217m) = mg
u = 0.09
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