Moments of Inertia and Dynamics

A collection of vocabulary flashcards based on the moments of inertia, dynamics concepts, and applications from the lecture notes.

Moment of Inertia

A quantity that characterizes the rotational inertia of a body and depends on the rotation axis.

Kinetic Energy (KE) for Rotation

Given by the formula KE = 1/2 Iω², where I is the moment of inertia and ω is the angular velocity.

Continuous Distribution of Mass

The method to compute the moment of inertia for extended bodies by replacing summation with integration.

Linear Density (λ)

Mass per unit length of an object, used to calculate moment of inertia for non-uniform rods.

Moment of Inertia for a Uniform Solid Cylinder

Calculated as I = 1/2 MR², where M is the mass and R is the radius.

Moment of Inertia of a Uniform Rod about Center

Given by I = 1/12 ML², where M is the mass and L is the length of the rod.

Moment of Inertia of a Non-Uniform Rod

Dependent on the linear density function and can vary along the length of the rod.

Moment of Inertia Table (Summary)

A collection of formulas for the moment of inertia of various shapes, provided for reference.

Frictionless Axle

A type of axle that allows smooth rotation without resistance, crucial for dynamics problems involving pulleys.

Conservation of Energy

A principle stating that the total energy remains constant in a closed system; used in dynamics problems for deriving equations.