To find the combined mass of several objects, we simply add their masses. The sa

Question

To find the combined mass of several objects, we simply add their masses. The same is true for the moment of inertia.
Consider a platform (solid disk or cylinder) of mass 1.330 kg and radius 0.6800 m which is rotating about its center. There are two objects placed on it. Treat these two objects as point objects.

Object A has a mass of 1.320 kg and sits a distance 0.5168 m from the axis of rotation.
Object B has a mass of 0.9108 kg and sits a distance 0.2312 m from the axis of rotation.

What is the moment of inertia of Object A?

What is the moment of inertia of Object B?

What is the combined moment of inertia of all three objects?

Explanation / Answer

moment of inertia of Object A =1.320 *0.5168^2 =>0.3525485568

moment of inertia of Object B= 0.9108*0.2312^2 =>0.04868539315

MOI of Disk = mr^2/2 => 1.330 *0.6800 =>0.307496

combined moment of inertia of all three objects = moment of inertia of Object A + moment of inertia of Object B + of Disk

=> 0.70872994995 Kgm2

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