The small object of mass m is placed on the rotatingconical surface at the radius shown

Chapter 3, Problem 3/81

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The small object of mass m is placed on the rotating conical surface at the radius shown. If the coefficient of static friction between the object and the rotating surface is 0.80 , calculate the maximum angular velocity \(\omega\) of the cone about the vertical axis for which the object will not slip. Assume very gradual angular-velocity changes.

                                                         

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