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For a thin rod (mass M, length L) about axis through ONE END perpendicular to rod, I equals:

AML²/12
BML²
CML²/2
DML²/3
Answer & Solution
Correct answer: D. ML²/3
By parallel-axis theorem: I_end = I_cm + M(L/2)² = ML²/12 + ML²/4 = ML²/12 + 3ML²/12 = 4ML²/12 = ML²/3.
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