The small object of mass m is placed on the rotating conical surface at the radius shown....

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 0.8, calculate the maximum angular velocity ωc of the cone about the vertical axis for which the object will not slip. Assume the ωc is increased very gradually so that the angular acceleration of the cone can be ignored.

Figure P3.72