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Science Bowl Question

📅 MIT Science Bowl Invitational 2020🎓 HS🔄 Round 9#️⃣ Question 9🌟 BONUS✍️ Short Answer

A thin rod has a total mass of M and length L, but its mass density increases proportionally to x^2, where x is the distance from one end, such that the density at that end is zero. What is the moment of inertia of this rod about that end?

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