A. A thin uniform 2.20 bar 1.50 long has a small 1.20 mass glued to each end. Wh

Question

A. A thin uniform 2.20 bar 1.50 long has a small 1.20 mass glued to each end. What is the moment of inertia of this object about an axis perpendicular to the bar through its center?

B. What is the moment of inertia of the object in part A about an axis perpendicular to the bar at one end?

C. A 725 metal wire is bent into the shape of a hoop 60.0 in diameter. Six wire spokes, each of mass 120 , are added from the center of the hoop to the rim. What is the moment of inertia of this object about an axis perpendicular to it through its center?

Explanation / Answer

A) I(bar) = (m*l^2)/12 = (2.2*(1.5)^2)/12 = 0.4125
I(mass) = 2*1.2*(0.75)^2 = 1.35
I(total) = 0.4125+1.35 = 1.7625

B) I(bar) = (m*l^2)/3 = (2.2*(1.5)^2)/3 = 1.65
I(masses) =0 + 1.2*1.5^2 = 2.7
I(total) = 1.65 + 2.7 = 4.35

c)I(total) =I(hoop) + I(spokes)
= 725*30^2 + 6*(120*30^2)/3
= 868500

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