An internally reversible heat engine (power cycle) operates between reservoir temperatures of 397℃ and 7℃, and the heat rejection rate is 2kW. The total net work output of the engine is used to drive an internally reversible heat pump, which is supplied by heat transfer at 7℃ and rejects heat at a temperature of 40℃. Determine a) The efficiency of the reversible heat engine and the COP of the reversible heat pump (6 points) b) The power output of the heat engine, in kW (6 points) c) The heat supplied to the heat pump, in kW (6 points) d) An overall COP for the combined device, which is defined as the energy delivered to the home divided by the initial energy supplied to the heat engine (4 points)

Tom is having a problem with his washing machine. he notices that the machine vibrates violently at a frequency of 1500 rpm due to an unknown rotating unbalance. the machine is mounted on 4 springs each having a stiffness of 10 kn/m. tom wishes to add an undamped vibration absorber attached by a spring under the machine the machine working frequency ranges between 800 rpm to 2000 rpm and its total mass while loaded is assumed to be 80 kg a) what should be the mass of the absorber added to the machine so that the natural frequency falls outside the working range? b) after a first trial of an absorber using a mass of 35 kg, the amplitude of the oscillation was found to be 10 cm. what is the value of the rotating unbalance? c) using me-3.5 kg.m, find the optimal absorber (by minimizing its mass). what would be the amplitude of the oscillation of the absorber?