Adding Moments 01 in 3 hours, 1 mass of several objects, we simply add their mas

Question

Adding Moments 01 in 3 hours, 1 mass of several objects, we simply add their masses. To find the combined moment of inertia of several object, we need to individually calculate the moment of To find the a platform (solid disk or cylinder) of mass 1.300 kg and radius 0.6300 m which is rotating about its center. There are two objects placed on it. Treat these two Platform Object A has a mass of 1.350 kg and sits a distance 0.4725 m from the axis of rotation. Object B has a mass of 0.9855 kg and sits a distance 0.1953 m from the axis of rotation What is the moment of inertia of the platform? Submit Answer Tries o/10 Submit Answer Tries 0/10 Subit Anawer Tries 0/10 What is the combined moment of inertia of all three objects? Submit Answer Tries 0/10

Explanation / Answer

let

M = 1.3 kg, R = 0.63 m
m1 = 1.35 kg, r1 = 0.4725 m
m2 = 0.9855 kg, r2 = 0.1953 m

Moment of inertia of the paltform, I_platform = 0.5*M*R^2

= 0.5*1.3*0.63^2

= 0.2580 kg.m^2

Moment of inertia of Object A, IA = m1*r1^2

= 1.35*0.4725^2

= 0.3014 kg.m^2

Moment of inertia of Object B, IB = m2*r2^2

= 0.9855*0.1953^2

= 0.03759 kg.m^2

Combined moment ot Inertia, I = I_paltform + IA + IB

= 0.2580 + 0.3014 + 0.03759

= 0.5770 kg.m^2

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