Question

2. Consider a spring-mass-damper system with oh-20 rad/s and K-1k = 0.010 mN that is initially at rest [y(0) = dydt(0)-0]. This systern is subjected to a step load F-10 N at t-0·Plot displacement y(t) for range 0StS0.8 for 3 different damping ratios(-0.40,1.00, 1.60) on a single graph (see Eq. 3.15). Use a software package to plot (Excel, MathCad, Matlab, etc.)-do not plot by hand. (12 points)

Answer 1

clc
clear all
eta=input('eta=');
syms y(t)
Dy = diff(y);
ode = diff(y,t,2)+(40*eta)*diff(y,t,1)+400*y == 40;%differential equation%
cond1 = y(0) == 0;%initial conditions%
cond2 = Dy(0) == 0;
conds = [cond1 cond2];
y(t) = dsolve(ode,conds);
t=0:0.01:0.8;
y1=y(t);
plot(t,y1)
hold on