Which of the following factors does NOT affect the moment of inertia of a plane lamina?

Explanation:

• The moment of inertia is a property related to the mass distribution of an object and does not directly depend on the angular velocity.
• The angular velocity determines the rotational speed, but it does not affect the moment of inertia itself.

Additional InformationMoment of Inertia of a Plane Lamina:

1. Definition:

   • Moment of inertia (I) is a measure of an object's resistance to rotational motion about a given axis.

   • For a plane lamina, it's the sum of the moments of inertia of its infinitesimal mass elements relative to the axis of rotation.

2. Factors Affecting Moment of Inertia:

   • Axis of Rotation: The moment of inertia depends on the position and orientation of the axis about which the lamina rotates.

   • Shape and Size: The distribution of mass across the lamina influences its moment of inertia. Different shapes (e.g., circular, rectangular) have different formulas.

   • Mass Distribution: The further the mass is distributed from the axis of rotation, the greater the moment of inertia.