A uniform bar has two small balls glued to its ends. The bar is 2.00 m long and has mass 4.00 kg, while the balls each have mass 0.300 kg and can be treated as point masses. Find the moment of inertia of this combination about an axis (d) parallel to the bar and 0.500 m from it.

A crucial part of a piece of machinery starts as a flat uniform cylindrical disk of radius R₀ and mass M. It then has a circular hole of radius R₁ drilled into it (Fig. 10–80). The hole’s center is a distance h from the center of the disk. Find the moment of inertia of this disk (with off-center hole) when rotated about its center, C. [Hint: Consider a solid disk and “subtract” the hole; use the parallel-axis theorem.]

<IMAGE>

(II) Determine the moment of inertia of a 19-kg door around its hinges along one side. The door is 2.5 m high and 1.0 m wide. Ignore the thickness of the door.

Figure 10–72 illustrates an H₂O molecule. The O―H bond length is 0.096 nm and the H―O―H bonds make an angle of 104°. Calculate the moment of inertia of the H₂O molecule (assume the atoms are points) about an axis passing through the center of the oxygen atom

(b) in the plane of the molecule, bisecting the H―O―H bonds.

<IMAGE>

A crucial part of a piece of machinery starts as a flat uniform cylindrical disk of radius R₀ and mass M. It then has a circular hole of radius R₁ drilled into it (Fig. 10–80). The hole’s center is a distance h from the center of the disk. Find the moment of inertia of this disk (with off-center hole) when rotated about its center, C. [Hint: Consider a solid disk and “subtract” the hole; use the parallel-axis theorem.]

<IMAGE>