Question Detail
Question
The figure shows three small spheres (A=36 kg, B=9 kg, C=4 kg) that rotate about a vertical axis. The perpendicular distance between the axis and the center of each sphere is given: A at 1 m, B at 2 m, C at 3 m. Rank the three spheres according to their rotational inertia about that axis.
Correct Answer
Option C is the correct answer.
Detailed Explanation
Rotational inertia I = m r². For A: I_A = 36 × 1² = 36. For B: I_B = 9 × 2² = 9 × 4 = 36. For C: I_C = 4 × 3² = 4 × 9 = 36. So all are equal. Thus C = B = A.
Hint
Compute I = mr² for each sphere.