Question

USE MATLAB ALSO PLOT THE PENDULUM animation

Case 1: Pendulum

Create a plot that shows a pendulum moving.

First,use the ode45 function to solve the pendulum equation between 0 and 10 seconds. The pendulum equation is:

Create a plot that shows a pendulum moving First, use the ode45 function to solve the pendulum equation between 0 and 10 seconds. The pendulum equation is: + sin(e) 0 where g is gravity and L is the length of the pendulum bar. Use a length L 2 m For initial conditions, use an angle pi/3 as the initial angle and zero initial velocity. Once you have the angular position for many instants of time (between 0 and 10 seconds) find the position of the pendulum with respect to the cartesian system (x,y) depicted below. 3 m Once you have positions x and y for all previous instants of time, proceed to make the animated plot -Plot positions y vs x one pair at a time. - Use the drownow command. - You may use cif to clear the figure for the next instant of time

Answer 1

`Hey,

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clc
clear all
g=9.82;
L=2;
f=@(t,y) [y(2);-(g*sin(y(1)))/L];
y0=[pi/3,0];
[T,TH]=ode45(f,[0,10],y0);
th=TH(:,1);
x=3-2*sin(th);
y=3-2*cos(th);
h = animatedline;
for i=1:length(x)
addpoints(h,x(i),y(i));
drawnow
end

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