A dumbbell-shaped object is composed by two equal masses, m, connected by a rod of negligible mass and length r. If I₁ is the moment of inertia of this object with respect to an axis passing through the center of the rod and perpendicular to it and I₂ is the moment of inertia with respect to an axis passing through one of the masses we can say that A) I₁ = I₂. B) I₁ I₂. C) I₁

Question

A dumbbell-shaped object is composed by two equal masses, m, connected by a rod of negligible mass and length r. If I₁ is the moment of inertia of this object with respect to an axis passing through the center of the rod and perpendicular to it and I₂ is the moment of inertia with respect to an axis passing through one of the masses we can say that A) I₁ = I₂. B) I₁ > I₂. C) I₁ < I₂. D) There is no way to compare I₁ and I₂.

Quizplus · Accepted Answer

I₁ = mr²/2 and I₂ = mr². Since I₁ is half of I₂, I₁ < I₂.

A Dumbbell-Shaped Object Is Composed by Two Equal Masses, M