EBK MATLAB: AN INTRODUCTION WITH APPLIC
EBK MATLAB: AN INTRODUCTION WITH APPLIC
5th Edition
ISBN: 8220102007642
Author: GILAT
Publisher: YUZU
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Chapter 10, Problem 1P
To determine

To plot:

The position of a moving particle as a function of time from the equation, x=[ (t15)100+1 ]sin(3t), y=[ (t15)100+1 ]cos(0.8t) and z=0.4t32 for 0t30s.

Expert Solution & Answer
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Answer to Problem 1P

Solution:

The program is stated as follows.

Explanation of Solution

The given equation is,

x=[ (t15)100+1 ]sin(3t)

y=[ (t15)100+1 ]cos(0.8t)

z=0.4t32

The range of t is 0t30s.

Write the MATLAB code to plot the position of a moving particle as a function of time from the equation, x=[ (t15)100+1 ]sin(3t), y=[ (t15)100+1 ]cos(0.8t) and z=0.4t32 for 0t30s.

MATLAB Code:

t = 0:0.1:30;

%Define the variable t.

x = [((t-15)./100)+1].*sin(3.*t);

%Define the variable x.

y = [((t-15)./100)+1].*cos(0.8.*t);

%Define the variable y.

z = 0.4.*t.^(3/2);

%Define the variable z.

plot3(x,y,z,'r','linewidth',2)

grid on

xlabel('x'); ylabel('y'); zlabel('z')

Save the MATLAB script with the name, Chapter10_29864_10_1P.m in the current folder. Execute the script by typing the script name at the command window to get the code that plots the position of a moving particle as a function of time from the equation, x=[ (t15)100+1 ]sin(3t), y=[ (t15)100+1 ]cos(0.8t) and z=0.4t32 for 0t30s.

Result:

EBK MATLAB: AN INTRODUCTION WITH APPLIC, Chapter 10, Problem 1P

Conclusion:

Therefore, the program is stated above.

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