A uniform, flat, square plate has a mass of 3.0 kg and a side 2.0 m in length. The moment of inertia about an axis that passes through its center and is parallel to one edge is 1.0 kg·m². The moment of inertia of the plate about an axis perpendicular to the plane through its center is A) 2.0 kg·m². B) 4.0 kg·m². C) 12 kg·m². D) 13 kg·m².

Question

Quizplus · Accepted Answer

The moment of inertia of a square plate about an axis through its center and perpendicular to its plane is given by (1/6) * m * a^2, where m is the mass and a is the side length. For this plate, it is (1/6) * 3.0 kg * (2.0 m)^2 = 2.0 kg·m².

A Uniform, Flat, Square Plate Has a Mass of 3