Determine (a) the principal stresses, (b) the absolute maximum shear stress/average normal stress for the state of stress below. (c) specify the angles of rotation for both (a) and (b). use mohr’s circle(s) only.

Consider a small frictionless puck perched at the top of a fixed sphere of radius r. if the puck is given a tiny nudge so that it begins to slide down, through what vertical height will it descend before it leaves the surface of the sphere? [hint: use conservation of energy to find the puck's speed as a func e conservation of energy to find the puck's speed as a function of its height at what value of this normal force does the puck leave the sphere? ] here on the puck.