Moment of Inertia Calculations:
About center: I = Ml²/12 = 0.33 kg·m²
About end: I' = Ml²/3 = 1.33 kg·m²
Physics Theory
The moment of inertia (I) measures an object's resistance to rotational acceleration. For a uniform rod:
- About center: I = Ml²/12
- About end: I' = Ml²/3 (using parallel axis theorem)
The parallel axis theorem states that the moment of inertia about any parallel axis equals the moment about the center of mass plus the mass times the square of the distance between axes (I' = I + Md²).
