A 10.0-kg rod has a varying linear density that is symmetric about the midpoint of the rod. The moment of inertia about an axis perpendicular to the rod that passes through the rod 30.0 cm from its midpoint is 5.00 kg∙m². What is the moment of inertia about an axis perpendicular to the rod that passes through the rod 20.0 cm from its midpoint? A)7.50 kg∙m² B)4.50 kg∙m² C)5.10 kg∙m² D)4.90 kg∙m² E)Answer depends on whether the new axis is on the same side of the midpoint as the 30.0 cm distant axis or if its on the opposite side of the midpoint.

Question

Quizplus · Accepted Answer

The moment of inertia depends on the distance from the axis to the center of mass. Since the density is symmetric, the moment of inertia decreases as the axis moves closer to the center of mass.

A 100-Kg Rod Has a Varying Linear Density That Is Symmetric