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  • Moment of Inertia: Understanding Dimensions and Calculation
    The dimension of moment of inertia is mass times length squared (ML²).

    Here's why:

    * Moment of inertia is a measure of an object's resistance to rotational motion. It depends on the mass distribution of the object relative to its axis of rotation.

    * Mass (M) is a fundamental quantity in physics, representing the amount of matter in an object.

    * Length (L) is another fundamental quantity, representing distance.

    The formula for moment of inertia of a point mass 'm' at a distance 'r' from the axis of rotation is:

    I = mr²

    This formula directly shows that moment of inertia is proportional to mass and the square of the distance. Hence, its dimension is ML².

    Note: The unit of moment of inertia is typically kilogram meter squared (kg m²) in the SI system.

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