Auniform chain of weight under gravity. prove, with the usual notation, that w per unit length hangs freely =c sec s c tan /, y a length 21 of this chain hangs symmetrically between fixed points a, b and supports a weight wl at its mid-point m. given that the chain at m is inclined at 30° to the horizontal, show that the depth of m below ab is /(/3 - 1), and find the distance ab

Acommercial refrigerator with refrigerant-134a as the working fluid is used to keep the refrigerated space at -35°c by rejecting waste heat to cooling water that enters the condenser at 18°c at a rate of 0.25 kg/s and leaves at 26°c. the refrigerant enters the condenser at 1.2 mpa and 50°c. if the compressor consumes 3.3 kw of power, determine (a) the mass flow rate of the refrigerant, (b) the refrigeration load, (c) the cop, and (d) the minimum power input to the compressor for the same refrigeration load.