Physics 30 flashcards ~15 min

Rotational Motion and Angular Momentum

Rotational motion extends the concepts of linear mechanics to spinning and rotating bodies, a key topic in both introductory and advanced physics courses. This deck covers torque, moment of inertia, and angular velocity and acceleration, along with the conserv...

About this deck

Rotational motion extends the concepts of linear mechanics to spinning and rotating bodies, a key topic in both introductory and advanced physics courses. This deck covers torque, moment of inertia, and angular velocity and acceleration, along with the conservation of angular momentum and rotational kinetic energy. You'll also review practical applications like rolling motion, gyroscopic precession, and the parallel axis theorem, plus moments of inertia for common shapes like spheres, disks, and rings. Ideal for students studying classical mechanics beyond basic linear motion.

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A measure of the rotational force applied to an object
τ = r × F × sin(θ)
A measure of an object's resistance to changes in rotational motion
Mass distribution relative to the axis of rotation
The rate of change of angular position, measured in radians per second
The rate of change of angular velocity
The rotational equivalent of linear momentum, L = Iω
Angular momentum remains constant if no external torque acts on a system
KE = ½Iω²
v = ωr
An object that does not deform under applied forces
Calculating moment of inertia about an axis parallel to one through the center of mass
The change in orientation of a rotating object's axis
A spinning object that resists changes to its orientation due to angular momentum
Acceleration directed toward the center of a circular path
a = v²/r
The net force causing circular motion, directed toward the center
The angle through which an object rotates
Radians per second
Motion combining both translation and rotation without slipping
v = ωr, where the contact point has zero velocity
(2/5)MR²
(1/2)MR²
MR²
Conservation of angular momentum as moment of inertia decreases
τ = Iα
A pair of equal and opposite forces creating rotation without translation
Determining the direction of angular velocity, torque, or angular momentum vectors
A state where the net torque on an object is zero
Force causes linear acceleration; torque causes angular acceleration