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| Teaching Since: | May 2017 |
| Last Sign in: | 408 Weeks Ago, 6 Days Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Grooved cone and mass
A cone of height h and base radius R is free to rotate around a fixed vertical axis. It has a thin groove cut in its surface. The cone is set
ω 0 rotating freely with angular speed ω 0 , and a small block of mass 
m m is released in the top of the frictionless groove and allowed to slide under gravity. Assume that the block stays in the groove. Take the moment of inertia of the cone around the vertical axis to be 
I 0 .
h ( a ) What is the angular speed of the cone when the block reaches the bottom?
( b ) Find the speed of the block in inertial space when it reaches the bottom.
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