In filter design, it is often possible and convenient to transform a lowpass filter to a high pass filter and vice versa. With H (s) denoting the transfer function of the original filter and G(s) that of the transformed filter, one such commonly used transformation consists of replacing s by 11 s; that is, G(s) = HG).
a. For H(s) = 11(s + 112), sketch IH(jw )I and IG(jw )1.
b. Determine the linear constant-coefficient differential equation associated with H(s) and with G(s).
c. Now consider a more general case

The drive force for diffusion is 7 fick's first law can be used to solve the non-steady state diffusion. a)-true b)-false

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

Amachine of mass 140 kg is mounted on springs of stiffness 1.4x10° n/m and in parallel witha viscous damper of unknown damping coefficient. the machine is subject to a harmonic excitation of 200sin150t n. the phase angle is measured as 2.58 rad. what is the damping coefficient of the viscous damper?