Moment of Inertia

These flashcards cover key concepts related to the moment of inertia and its calculations in physics.

Moment of Inertia

A measure of an object's resistance to rotational motion about an axis.

Parallel Axis Theorem

Allows the calculation of the moment of inertia of an object about any axis parallel to one through its center of mass.

Perpendicular Axis Theorem

States that for a plane object, the moment of inertia about an axis perpendicular to its plane is the sum of the moments of inertia about two axes in its plane.

Rigid Body

An idealization of a solid body in which deformation is negligible under the action of forces.

Angular Velocity (ω)

The rate of change of angular displacement of an object, typically measured in radians per second.

Continuous Mass Distribution

When mass is spread out over a volume rather than concentrated at discrete points.

Compound Object

An object made up of two or more different bodies, each with its own moment of inertia.

Mass Moment of Inertia Equation

For a rigid body, it is expressed as $I = ext{sum of }(m_i r_i^2)$ where $m_i$ is mass and $r_i$ is the perpendicular distance from the axis of rotation.

Distribution of Mass

The arrangement of mass within an object, affecting its moment of inertia with respect to a chosen axis.

Center of Mass (CoM)

The point in a body or system of bodies where the mass can be considered to be concentrated for the purpose of analyzing translational motion.