A thin hoop and a solid uniform disk each have mass 2.0kg and radius 0.30m. Consider two distinct rotation axes:
Axis A: through the center of the object and perpendicular to its plane.
Axis B: through a diameter of the object and lying in its plane (so that the object would "wobble" about this axis).
Respond to the prompts below, giving thorough explanations rather than numerical calculations.
(1) Part 1: (a) For Axis A, identify which object has the greater rotational inertia and explain why.
(2) Part 2: (b) For Axis B, identify which object has the greater rotational inertia and explain why.
(3) Part 3: (c) Discuss how the fact that rotational inertia is minimized for an axis through an object’s center of mass influences your answers to parts (a) and (b).