Mass Sliding Down a Rotating Inclined Tube with Friction

A particle of mass slides from the center of a rotating tube at an angle with a vertical bar. The angular velocity and the friction coefficient determine the direction in which the particle slides.


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The equation for is
with the normal force
The conditions for incipient outward and inward motion are, respectively,
for .
[1] D. T. Greenwood, Advanced Dynamics, Cambridge, UK: Cambridge University Press, 2003.
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