1. Assume that the maximum principal stress is horizontal and oriented N30E (030) (50 MPa) and the least principal stress is oriented N60W (300) (20 MPa). What is the shear stress and normal stress on a plane oriented E-W (090). First sketch the geometry described. Solve the problem both graphically and mathematically.

Asimple speed reducer is composed of 2 spur gears. the pinion gear has a pitch diameter of 0.75" and 36 teeth while the driven gear has a pitch diameter of 4.0" and 192 teeth. a)-what is the diametral pitch of each gear? b)-if an electric motor rotating ccw at 3000 rpm is coupled to the pinion, what is the rotational speed of the driven gear? c)-if the torque delivered to the pinion is 1 n-m, what is the torque on the driven gear? d)-what is the power transmitted by the gear train?