Question
Transcribed Text
The length of a curve given by a parametric equation x(t), y(t) is given by:
Z b
a
p
[x
0
(t)]2 + [y
0
(t)]2dt
The cycloid curve is given by x = R(t−sin t), and y = R(1−cost). Determine the length
of a cycloid with R = 8in for 0 ≤ t ≤ 2π.
Solution Preview
This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.
%This is the driver srcript.% This piece is a test. The answer should be close to 64.
N=1000; %Number of integration points
R=8; %Radius
times=linspace(0,2*pi,N);
dt=times(2)-times(1);
%parametrization of the cycloid
x=R*(times-cos(times));
y=R*(1-sin(times));
%numerical calculation of derivatives
dx_dt=diff(x)/dt;
dy_dt=diff(y)/dt;...
Return to homework library