Question

Consider the differential equation y(t) + 69(r) + 5y( Q3. t)u(t), where y(0) (0)0 and iu(t) is a unit step. Deter- mine the solution y(t) analytically and verify by co-plotting the analytic solution and the step response obtained with the step function. Consider the mechanical system depicted in Figure 4. The input is given by f(t), and the output is y(t). Determine the transfer function from f(t) to y(t) and, using an m-file, plot the system response to a unit Q4. Spring constant Forcing, function Mass displacement Mass rrn y0 Friction constant FIGURE4 4 A mechanical spring-mass-damper system.

Matlab code for the following problems.

Answer 1

ー 2 then ndl CiD Put al thege yalueg in epuaden it 51 an ton and 9teb weskenje s given by unvt gteb Inbiyl)

闷 iven Suttem cloes not exit, becoz o ラt overdamkel

PUBLISH VIEVW un section reakpoirts Time vance BR OINTS auit O xvariables Editor-testcase.m* -x clc clear y zeros (10) for i=1:1:10 y(1). О. 2 +0.005, texp (-5.ti)-0.25.*exp (-1); end plot(t,y) 10 12 Command Window

0.2 0.18 0.16 0.14 0.12 0.1 0.08 0.06 004 0.02 10