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

Question

Calculate the moment of inertia of the array of point objects shown in the figure(Figure 1) about the vertical axis. Assume m = 1.8kg , M = 3.8kg , 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.

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

Express your answer using two significant figures

About which axis would it be harder to accelerate this array?

Calculate the moment of inertia of the array of point objects shown in the figure(Figure 1) about the vertical axis. Assume m = 1.8kg , M = 3.8kg , 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. Calculate the moment of inertia of the array of point objects about the horizontal axis. Express your answer using two significant figures About which axis would it be harder to accelerate this array?

Explanation / Answer

For the vertical axis:

I = Sum(mi ri^2)

where mi = the masses

ri = the distance of these masses to the axis.

Thus,

Ivertical = 14 kg*m^2   [ANSWER, PART A]

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For the vertical axis:

I = Sum(mi ri^2)

where mi = the masses

ri = the distance of these masses to the axis.

Thus,

Here, the distance of the masses from the horizontal axis is 0.25 m. Thus,

Ihorizontal = 2.8 kg*m^2   [ANSWER, PART B]

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A systme of greater I is harder to rotate.

Thus, it is harder to rotate along the VERTICAL AXIS. [ANSWER, PART C]

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