Aspring-mass system consists of a mass weighing 20 kg and a spring with stiffness of 1000 n/m. the mass is subjected to resonance by a harmonic force f(t) 20 cos wt n. the initial condition is given as the initial position 0 and the initial velocity 0. find the amplitude of the forced motion at the end of (a) 1.5 cycle and (b) 2.25 cycles

Heat is added to a piston-cylinder device filled with 2 kg of air to raise its temperature 400 c from an initial temperature of t1 27 cand pressure of pi 1 mpa. the process is isobaric process. find a)-the final pressure p2 b)-the heat transfer to the air.

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.

The higher the astm grain-size number, the coarser the grain is. a)-true b)-false