MAT 275 MATLAB LAB 5 Exercise 1 - Copy.pdf | MAT 275

MAT$275$MATLAB$LAB$5$ $ $ $ $ $ $ Alejandro$ $Carranza

Exercise$1$$

A)$

%The blue represent the y = y(t) graph due to the facts

%that the in tial condition of the blue curve is at y(0)=0.1.i

B)$

%The period is around 3.1, and

%using w0 would be 2pi/w0, which would come out to pi.

C)$

%The mass will not come to rest due to the fact that there is no

%damping in the system, so the amplitudes will remain constant.

D)$

%The amplitude for the y(t) curve is 0.1.

E)$

%The max velocity is reached when v(t) = 0.2, which occurs at t -values

%pi/4,3pi/4,5pi/4,… .

F)$

%As the mass increases, the period will increase, and as

%the k stiffness value increases, the period will decrease.

%m = 5;k = 4;

type('LAB05ex11.m')

run('LAB05ex11.m')

%m = 1; k = 16;

type('LAB05ex12.m')

run('LAB05ex12.m')

function LAB05ex11

m = 5;

k = 4;

omega0 = sqrt(k/m);

y0 = 0.1; v0 = 0;

[t,Y] = ode45(@f,[0,10],[y0,v0],[],omega0);

y = Y(:,1); v = Y(:,2);

figure(1)

plot(t,y,'b+',t,v,'ro');--

xlabel('time')

ylabel('amplitude')

MAT 275 MATLAB LAB 5 Exercise 1 - Copy.pdf