Moment Of Inertia and Angular Momentum 3. A 35-kg child is sitting along the rim of a merry-go- round that is rotating at 0.35 revolutions per second about its symmetry axis. The mass and the radius of the merry-go-round are 85 kg and 8 m, respectively. Assume that you can treat the child as a point particle and you can model the merry-go-round as a disc. a. Calculate the moment of inertia of the system about its axis of symmetry. Hint: Compute for the moment of inertia of the child (Ichita = mchita™m³) and the of inertia of the merry-go-round moment (moment of inertia for a solid disc is mr² so Im =mmFm*) first then compute for the sum, Irotal = Ichita + Im- %3D b. Calculate the total angular momentum of the system. Hint: Use the moment of inertia of the whole system, Itotat acquired from letter a, then use: L = lw. %3D

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