A small object A is held against the vertical sideof the rotating cylindrical container

Chapter 3, Problem 3/60

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A small object A is held against the vertical side of the rotating cylindrical container of radius r by centrifugal action. If the coefficient of static friction between the object and the container is \(\mu_{\mathrm{s}}\), determine the expression for the minimum rotational rate \(\dot{\theta}=\omega\) of the container which will keep the object from slipping down the vertical side.

                                                       

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