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Prove the equivalence between the two statements of the 2nd law of thermodynamics (i.e., a violation of one statement leads to the violatio the other statement)

Two slings are used to lift a girder of length l and uniform weight per unit length. what is the best position for the slings if the bending moment due to the weight of the girder is to be kept to a minimum?

Apinion having 30 involute teeth of 6,5 module rotates at 220 r/min and transmits 2 kw to a gear wheel having 70 teeth; the addendum on both wheels is 4 of the circular pitch and the angle of obliquity is 200. determine; 3.1 the lengths of the path of approach and the arc of approach 3.2 the normal force between the teeth at an instant when there is only one pair of teeth in contact