Do not round intermediate calculation; however for display purposes report intermediate steps rounded to four significant figures, Give your final answer(s) so four significant figures.

The small object of mass m is placed on the rotating conical surface at the radius shown. If coefficient of static friction between the object and the rotating surface is 0.6, calculate the maximum angular velocity ? _c of the cone about the vertical axis for which the object will not slip. Assume the ? _c is Increased very gradually so that the angular acceleration of the cone can be ignored.

rad/s -0.14m 30 4