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Calculate the moment of inertia of the array of point objects shown in the figur

ID: 1485256 • Letter: C

Question

Calculate the moment of inertia of the array of point objects shown in the figure(Figure 1) about the vertical axis. Assume m = 2.0 kg , M = 4.0 kg , and the objects are wired together by very light, rigid pieces of wire. The array is rectangular and is split through the middle by the horizontal axis.

Express your answer using two significant figures.

Part B

Calculate the moment of inertia of the array of point objects about the horizontal axis.

Express your answer using two significant figures.

I =   kgm2  

Explanation / Answer

(a)
(4kg + 2kg)(0.5^2 meters + 1.00^2 meters) = 7.5 kg m^2


(b)
Provided the axis is midway between the two pairs of masses:
2 * 0.25^2 (2kg + 4kg) =.75kg m^2

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