Max (15 kg) and maya (12 kg) are riding on a merry-go-round that rotates at a constant speed. max is sitting on the edge of the merry-go-round, 2.4 m from the center, and maya is 1.2 m from the center. considering max and maya to be one system of masses, what is their moment of inertia measured with respect to the center of the merry-go-round?

103.68 NM

Explanation:

Step 1: identify the given parameters

Max mass = 15kg

maya mass = 12kg

max distance from the center (a)= 2.4m

maya distance from the center (b) = 1.2m

Moment of inertia = M*r²

Step 2: calculate the moment of inertia (I) of max

I = M*r²

I = 15*(2.4)² = 86.4NM

Step 3: calculate moment of inertia of Maya

I = M*r²

I = 12*(1.2)² = 17.28NM

Step 4: find the total moment of inertia

Total moment of inertia = max moment of inertia + Maya moment of inertia

Total moment of inertia = 86.4 NM + 17.28NM

Total moment of inertia = 103.68 NM