In an x-y plane three point masses are drawn: 1 kg at the origin (0, 0), 2 kg at (3 m, 0) and 3 kg at (0, 3 m). Where is the centre of mass of the system?
Show the answer
X = (1×0 + 2×3 + 3×0)/6 = 1 m and Y = (1×0 + 2×0 + 3×3)/6 = 1.5 m.
- A.
This swaps the x and y coordinates.
- B.
(1 m, 1 m) is the centroid of the triangle, which applies only for equal masses.
- C.
(2 m, 1.5 m) divides the x-moment by 3 instead of the total mass 6 kg.
NCERT: Class 11 Physics, Chapter 6