
Anthony T. answered 04/19/21
Patient Science Tutor
The total moment of inertia in this problem is the sum of the moments of inertia of the merry-go-round disk and the kid.
The moment of inertial of a disc can be easily be found on the web and is given as 1/2 m x r2 = 1/2 x 225 kg x 2.30 m = 5.95 x 102 kg-m2.
The momentum of inertia of the kid is given by m x r2 = 41.2kg x 1.52 m2
= 92.7 kg-m2.
Add together to get 688 kg-m2.