Suppose that a mass is initially at x= xo with an initial velocity vo. show that the resulting motion is the sum of two oscillations, one corresponding to the mass initially at rest at x= xo and the other corresponding to the mass initially at the equilibrium position with velocity va. what is the amplitude of the total oscillation ?

Air inially occupying a volume of 1 m2 at 100 kpa, 27 c undergoes three internally reversible processes in series. process 1-2 compression to 500 kpa during which pv constant process 2-3 adiabatic expanslon to 100 kpa process 3-1: constant-pressure expansion to 100 kpa (a) calculate the change of entropy for each of the three processes. (b) calculate the heat and work involved in each process. (c) is this cycle a power cycle or refrigeration cycle?