Equation quiz 3

Center of mass of a system of particles

The definition of linear momentum for a particle (nonrelativistic)

The linear momentum of a system of particles

Newton’s second law for a particle

Newton’s second law for a system of particles

Calculation impulse, change in momentum

Relationship between velocities in a one-dimensional, elastic collision

Definition of average angular velocity for rotation about a fixed axis

Definition of instantaneous angular velocity for rotation about a fixed axis

Definition of average angular acceleration for rotation about a fixed axis

Definition of instantaneous angular velocity for rotation about a fixed axis

Definition of average angular acceleration for rotation about a fixed axis

Definition of instantaneous angular acceleration for rotation about a fixed axis

Angular velocity as a function of time, assuming rigid-body rotation about a fixed axis with constant angular acceleration

Angular position as a function of time, assuming rigid-body rotation about a fixed axis with constant angular acceleration

Angular velocity as a a function of angular displacement, assuming rigid body rotation about a fixed axis with constant angular acceleration

Relationship between arc length and angle along a circular path

Relationship between linear speed and angular speed for circular motion

Relationship between tangential acceleration and angular acceleration for circular motion

The period of motion for uniform circular motion

Magnitude of centripetal acceleration for an object in uniform circular motion

The rotational inertia (or moment of inertia) of a rigid system of particles about some axis

The parallel axis theorem for moments of inertia (or rotational inertias)

The rotational version of Newton’s second law (assuming a fixed axis)

Rotational kinetic energy of a rigid body

Angular momentum of a rigid body in pure rotation about a fixed axis

Formula for the work done by a variable torque, in rotation about a fixed axis

Instantaneous power output of a torque, for rotation about a fixed axis

General definition of the torque produced by a force acting at a point

General definition of a particle’s angular momentum