Question: 1. Three point masses of 4 gm each are placed at x = -6, 1 and 3. Where should a fourth point mass of 4 gm be placed to make the center of mass at the origin?
2. A rod with density δ(x) = 2 + sin x lies on the x-axis between x = 0 and x = π. Find the center of mass of the rod.