alleryParallel-axis theorem relates I about an axis at distance d from the centre of mass to I_cm by:
AI = I_cm + M d
BI = I_cm + M d²
CI = I_cm − M d²
DI = I_cm + d² / M
Answer & Solution
Correct answer: B. I = I_cm + M d²
1. Parallel-axis theorem: I = I_cm + M d², where d is the perpendicular distance between the two parallel axes.
2. Note both axes must be parallel; one passes through the CM.
3. Hence I is minimum about an axis through the CM.
_Source: syllabus Physics Ch 6 §6.9 Parallel-Axis Theorem_
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