Question

The center of mass is the point where the mass of all particles in a system is considered to be "concentrated." In one dimension, the center of mass for a system can be calculated by: mx + m * + ... m. + m +... where m is the particle mass and x is the particle position. Write a MATLAB code to calculate the center of mass of a system of particles using vectors of any length as input to the code. That is, you have a vector of masses and a vector of positions that you input. Example: Vectorname=input('descriptive text:'); Be sure to display your results in the command window.

Answer 1

Code:

% prompting user for vector of mass
masses = input("Enter mass vector using [] brackets, e.g [1 2 3 5 9] : ");
% prompting user for vector of positions
positions = input("Enter position vector using [] brackets, e.g [1 2 3 5 9] : ");

sum_of_mass = 0; % to store m1 + m2 + m3 .....
product_of_mass_pos = 0; % to store m1*x1 + m2*x2 + ....

for i = 1:size(masses, 2)
sum_of_mass = sum_of_mass + masses(i);
product_of_mass_pos = product_of_mass_pos + masses(i)*positions(i);
end

% centre of mass
cm = product_of_mass_pos/sum_of_mass;
% printing the result
fprintf("The centre of mass is: %.2f\n", cm);

centreOfMass. mx 1 % prompting user for vector of mass masses = input("Enter mass vector using [] brackets, e.g [1 2 3 5 9] : "); 3 % prompting user for vector of positions 4 positions = input("Enter position vector using [] brackets, e.g [1 2 3 5 9] : "); 6 7 sum_of_mass = 0; % to store ml + m2 + m3 ... product_of_mass_pos = 0; $ to store ml*xl + m2*x2 + .... 9 for i = 1:size(masses, 2) 10 sum of mass = sum of mass + masses (i); 11 - product_of_mass_pos = product_of_mass_pos + masses(i) *positions(i); 12 end 13 14 % centre of mass 15 cm = product_of_mass_pos/sum_of_mass; 16 % printing the result fprintf("The centre of mass is: %.2f\n", cm);||

OUTPUT:

>> centreOfMass Enter mass vector using [] brackets, e.g (1 2 3 5 9] : [0.1 0 0.20 0.80 0.10] Enter position vector using [] brackets, e.g (1 2 3 5 9] : [0.00 0.20 0.80 1.0] The centre of mass is: 0.65