A milling cutter, mounted at the middle of an arbor, is used to remove metal from a workpiece. A torque of500 N-m is developed in the cutter under steady-state cutting conditions. One of the 16 teeth...

A milling cutter, mounted at the middle of an arbor, is used to remove metal from a workpiece. A torque of
500 N-m is developed in the cutter under steady-state cutting conditions. One of the 16 teeth on the cutter
breaks during the cutting operation. Determine the cross section of the arbor to limit the amplitude of angular
displacement of the cutter to 1° see figure 4.77. Assume that the arbor can be modeled as a hollow steel
shaft fixed at both ends.
Data: Length of arbour = 0.5m, mass moment of inertia of the cutter = 0.1 N-m², speed of cutter = 1000 rpm