A brave child decides to grab onto an already spinning merry‑go‑round. The child is initially at rest and has a mass of 29.5 kg. The child grabs and clings to a bar that is 1.60 m from the center of the merry‑go‑round, causing the angular velocity of the merry‑go‑round to abruptly drop from 35.0 rpm to 19.0 rpm. What is the moment of inertia of the merry‑go‑round with respect to its central axis?

A brave child decides to grab onto an already spinning merry‑go‑round. The child is initially at rest and has a mass of 29.5 kg. The child grabs and clings to a bar that is 1.60 m from the center of the merry‑go‑round, causing the angular velocity of the merry‑go‑round to abruptly drop from 35.0 rpm to 19.0 rpm. What is the moment of inertia of the merry‑go‑round with respect to its central axis?