Question

Find the centroid of the system consisting of a mass of 6 at (6, -6), a mass of 3 at (-2, 1), a mass of 3 at (-4, -2), and a mass of 6 at (9, 4).

Answer 1

I think it's a case of a summation of the product of masses and distances over the summation of the masses.

So i reckon it's:
x-plane
(6*6 - 3*2 - 3*4 + 6*9)/(6+3+3+6)
= 4
y-plane
(-6*6 + 3*1 - 3*2 + 6*4)/(6+3+3+6)
=-(5/6)

CM (4, 5/6)

Answer 2

thank you!