Rotational Dynamics — SI Unit of Mass Moment of Inertia In SI units, the mass moment of inertia has the unit kg·m^2.

Introduction / Context:
Mass moment of inertia measures an object’s resistance to angular acceleration about an axis. Correct units are essential for dimensional consistency in torque and angular acceleration relationships.

Given Data / Assumptions:

• SI base unit of mass is kilogram (kg) and of length is metre (m).
• Moment of inertia involves mass multiplied by squared distance from an axis.

Concept / Approach:
The defining expression is I = ∫ r^2 dm for continuous bodies or I = Σ m_i r_i^2 for discrete masses. Thus, the dimension is [mass] * [length]^2, which in SI is kg·m^2.

Step-by-Step Solution:

Verification / Alternative check:
For a solid disk, I = (1/2) m R^2; substituting SI units yields kg·m^2, confirming the unit again.

Why Other Options Are Wrong:
'False' would imply a different unit, contradicting dimensional analysis and standard definitions in mechanics.

Common Pitfalls:
Confusing mass moment of inertia (kg·m^2) with area moment of inertia (m^4) used in beam bending; mixing CGS (g·cm^2) with SI (kg·m^2).

Final Answer:
True.