Three children are riding on the edge of a merry‑go‑round that has a mass of 105 kg and a radius of 1.60 m. The merry‑go‑round is spinning at 24.0 rpm. The children have masses of 22.0, 28.0, and 33.0 kg. What is the equation of the total moment of inertia? Ignore friction, and assume that the merry‑go‑round can be treated as a solid disk and the children as point masses.