Question

Using matlab, write the code and plot the graph for the following equations. The x axis would be theta from 0 deg to 360 deg while the y axis would be angular or tangential position, velocity and acceleration.

10 100 E7360 AB- eD100mm sin 1O-Sn 2To ne cose, t Cas 2 3 4 O,= To (reano,re bease-feo, sene-Feo 6 as ) Cos O2

Answer 1

x0=0;

y0=6;

v0=75;

theta=45;

theta=theta*pi/180; %to convert to radian

target_x=400;

target_y=115;

syms t

ans=solve(target_y+0.5*9.81*t.^2-v0*sin(theta)*t-y0,t);

r=double(ans);

disp(r)

T=max(r);

t=linspace(0,T,100);

x=v0*cos(theta)*t+x0;

y=-0.5*9.81*t.^2+v0*sin(theta)*t+y0;

plot(x,y)

grid on

hold on

plot(target_x,target_y,'o');

hold off

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