Question:
A thin rod of length 4l and mass M is bent at the points as shown in the figure. What is the moment of inertia of the rod about the axis passing through point O and perpendicular to the plane of paper?
A thin rod of length 4l and mass M is bent at the points as shown in the figure. What is the moment of inertia of the rod about the axis passing through point O and perpendicular to the plane of paper?
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For bent rods, calculate MOI segment-wise and add using parallel axis theorem.
Updated On: Mar 20, 2026
- \( \dfrac{Ml^2}{3} \)
- \( \dfrac{10Ml^2}{3} \)
- \( \dfrac{Ml^2}{12} \)
- (Ml²)/(24)
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The Correct Option is B
Solution and Explanation
Step 1: Divide the bent rod into straight segments of length l.
Step 2: Apply parallel axis theorem for each segment.
Step 3: Summing contributions: I = (10Ml²)/(3)
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