Find the centroid of 4 particles of equal mass located at (0,0), (4,2), (3,-5), and (-2,-3)
To find the centroid of the particles, we need to calculate the average x-coordinate and the average y-coordinate of all the particles.
Step 1: Calculate the average x-coordinate
To find the average x-coordinate, add up all the x-coordinates and divide by the number of particles.
(0 + 4 + 3 + (-2))/4 = 1.25
Therefore, the average x-coordinate is 1.25.
Step 2: Calculate the average y-coordinate
To find the average y-coordinate, add up all the y-coordinates and divide by the number of particles.
(0 + 2 + (-5) + (-3))/4 = -1.5
Therefore, the average y-coordinate is -1.5.
Step 3: Identify the centroid
The centroid is the point that represents the average position of all the particles. In this case, the centroid is (1.25, -1.5).
So, the centroid of the 4 particles is located at (1.25, -1.5).