A uniform bar has two small balls glued to its ends. The bar is 2.90 m long and

Question

A uniform bar has two small balls glued to its ends. The bar is 2.90 m long and with mass 2.70 kg , while the balls each have mass 0.700 kg and can be treated as point masses.

a) Find the moment of inertia of this combination about an axis perpendicular to the bar through its center.

I = ______ kg*m^2

b) Find the moment of inertia of this combination about an axis perpendicular to the bar through one of the balls.

I = ______ kg*m^2

c) Find the moment of inertia of this combination about an axis parallel to the bar through both balls. I =

______ kg*m^2

Explanation / Answer

a) I = 1/12 M L^2 + 2 m (L/2)^2 about middle M = mass of bar, m = mass of ball. L = length of bar b) I = 1/3 M L^2 + m L^2 about one end c) zero since radii of bar and balls assumed to be small

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