An SDOF undamped structure (i. e., c = 0) with lateral stiffness 150 k/in and a weight of 1200 kips is undergoing free vibration after being exposed to an initial velocity of 2 in/s and an initial displacement of 4 inches. For each 0.1 second time increment up to 1.2 seconds, find the acceleration, velocity and displacement of the structure. Plot the acceleration, velocity and displacement time history of the SDOF oscillator and label the maximum amplitude and fundamental period on each plot.

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.