Calculate the moment of inertia of each of the following uniform objects about the axes indicated.

a) A thin 3.10-kg rod of length 80.0 cm, about an axis perpendicular to it and passing through its center.

b) A thin 3.10-kg rod of length 80.0 cm, about an axis perpendicular to it and passing through one end.

c) A thin 3.10-kg rod of length 80.0 cm, about an axis parallel to the rod and passing through it.

d) A 4.00-kg sphere 31.0 cm in diameter, about an axis through its center, if the sphere is solid.

e) A 4.00-kg sphere 31.0 cm in diameter, about an axis through its center, if the sphere is a thin-walled hollow shell.

f) An 6.00-kg cylinder, of length 21.0 cm and diameter 22.0 cm , about the central axis of the cylinder, if the cylinder is solid.

g) An 6.00-kg cylinder, of length 21.0 cm and diameter 22.0 cm, about the central axis of the cylinder, if the cylinder is thin-walled and hollow.

a) A thin 3.10-kg rod of length 80.0 cm, about an axis perpendicular to it and passing through its center.

b) A thin 3.10-kg rod of length 80.0 cm, about an axis perpendicular to it and passing through one end.

c) A thin 3.10-kg rod of length 80.0 cm, about an axis parallel to the rod and passing through it.

d) A 4.00-kg sphere 31.0 cm in diameter, about an axis through its center, if the sphere is solid.

e) A 4.00-kg sphere 31.0 cm in diameter, about an axis through its center, if the sphere is a thin-walled hollow shell.

f) An 6.00-kg cylinder, of length 21.0 cm and diameter 22.0 cm , about the central axis of the cylinder, if the cylinder is solid.

g) An 6.00-kg cylinder, of length 21.0 cm and diameter 22.0 cm, about the central axis of the cylinder, if the cylinder is thin-walled and hollow.

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