The solid shaft of radius r is subjected to a torque T. Determine the radius r of the inner core of the shaft that resists one-half of the applied torque (T>2). Solve the problem two ways: (a) by using the torsion formula, (b) by finding the resultant of the shear-stress distribution.

Imperial Athens o Lots of changes in the 50 years after the civil war Greece divided into 2 parts Delian league - led by Athens Peloponnesian league - led by Sparta o 479-461 BC Expansion of Syracuse Gelon lead syracusian Greeks to victory over carthage Dedicated a tripod at Delphi to commemorate the victory Government in Syracuse Gelon died so his son Hiero took over He was a very firm ruler Depopulated cities and put mercenaries in them He beat the