Part A Calculate the moment of inertia of the array of point objects shown in th

Question

Part A

Calculate the moment of inertia of the array of point objects shown in the figure(Figure 1) about the vertical axis. Assume m = 1.4 kg , M = 2.8 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.

Part C

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

a. about the horizontal axis

b.about the vertical axis

Explanation / Answer

I = MR^2

I = 1.4*0.5^2 + 1.4*1.5^2 + 2.8*0.5^2 + 2.8*1.5^2 = 5.5125 Kg m^2

B.)

I = MR^2

I = 2*1.4*0.25^2 + 2*2.8*0.25^2 = 0.525 Kgm^2

C.) about Vertical axis it would be harder to accelerate because moment of inertia is more about vertical axis hence it would be harder to rotate

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