A uniform thin square plate of side length lies flat on a tabletop

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A uniform thin square plate of side length LL lies flat on a tabletop. Three separate axes are perpendicular to the plate and located in its plane: • Axis X passes through the center of the plate. • Axis Y passes through the midpoint of one edge. • Axis Z is located at a point a distance 2L2L from the center of the plate. Which of the following correctly ranks the rotational inertia of the plate about these axes from least to greatest? (a) Y<X<ZY < X < Z (b) X<Y<ZX < Y < Z (c) X<Z<YX < Z < Y (d) Z<Y<XZ < Y < X

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