An overhead crane carries a load of 50 tonne. under static conditions the maximum deflection is 5 mm (excluding the elongation of the ropes) and the maximum bending stress is 60 mpa. the ropes have a combined cross-sectional area of 1 x 10 m². include the elongation of the rope and calculate the maximum deflection at the end of the rope and the maximum stress induced in the crane if the 50 tonne is lowered at a constant speed of 0,1 m/sec and then suddenly stopped when the rope has a length of (a) 3 m; and (b) 20 m (e = 210 gpa).

Aheat pump with refrigerant-134a as the working fluid is used to keep a space at 25°c by absorbing heat from geothermal water that enters the evaporator at 500c at a rate of 0.065 kg/s and leaves at 40°c. the refrigerant enters the evaporator at 20°c with a quality of 23 percent and leaves at the inlet pressure as saturated vapor. the refrigerant loses 300 w of heat to the surroundings as it flows through the compressor and the refrigerant leaves the compressor at 1.4 mpa at the same entropy as the inlet. determine: (a) the degrees of subcooling of the refrigerant in the condenser, b)-the mass flow rate of the refrigerant . (c) the heating load and the cop of the pump, and d)-the theoretical minimum power input to the compressor for the same heating load.