A 3.0-kg mass is placed at (4.0,5.0)m,and a 6.0-kg mass is placed at (4.0,−5.0)m.What is the moment of inertia of this system of masses about the z axis? A) 369 kg·m² B) 36 kg·m² C) 225 kg·m² D) 144 kg·m² E) 45 kg·m²

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Quizplus · Accepted Answer

The moment of inertia about the z-axis is calculated using I = Σm*r², where r is the distance from the axis. For the 3.0-kg mass, r = 5.0 m, and for the 6.0-kg mass, r = 5.0 m. Thus, I = 3.0*(5.0)² + 6.0*(5.0)² = 75 + 150 = 225 kg·m².

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