Avariable speed reciprocating compressor of mass 400 kg has a natural frequency of 16.2 hz. (a) design an optimum auxiliary mass damper, so that the maximum dynamic magnification for the compressor is limited to 4.0. determine the optimum damping required. (b) what is the dynamic magnification of the compressor if the absorber is optimally damped, but tuned ot the natural frequency of the system? assume same mass ratio as in part (a).

Agas contained within a piston-cylinder assembly e end nation about same energy states, 1 and 2, where pi 10 bar, v undergoes two processes, a and b, between the sam 0.1 m3, ui-400 kj and p2 1 bar, v2 1.0 m2, u2 200 kj: process a: process from 1 to 2 during which the pressure- volume relation is pv constant process b: constant-volume process from state 1 to a pressure of 2 bar, followed by a linear pressure-volume process to +20 0 state 2 kinetic and potential energy effects can be ignored. for each of the processes a and b, (a) sketch the process on p-v coordinates, (b) evaluate the work, in kj, and (c) evaluate process the heat transfer, in kj