An air-to air heat pump has a capacity of 10 tons at its balance point. the characteristics of the heat pump and that of the building is as shown in figure 2.6.3. at a typical winter operation, the outside air temperature is at 15 °f. determine (a) the building load (b) the capacity of heat pump (c) the power supplied by the supplementary resistance heaters (d) the cop of the heat pump (e) and the equivalent cop of the heat pump, after accounting for the supplementary energy supplied

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.