AP Physics 1: Algebra-Based Flashcards: Rolling
Written by AP Content Team, Verified for 2026 AP Exams, Last updated: May 2026
Review key ideas with interactive flashcards. This set includes 10 cards to help you master important concepts.
Describe the motion of a system that is rolling without slipping.
This is a motion where the system's translational and rotational motions are perfectly synchronized, satisfying the condition $v = R\omega$ at the center of mass.
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Describe the motion of a system that is rolling without slipping.
This is a motion where the system's translational and rotational motions are perfectly synchronized, satisfying the condition $v = R\omega$ at the center of mass.
A bicycle wheel is rolling down a hill. What two components must be included to calculate its total kinetic energy?
To find its total kinetic energy, you must sum its translational kinetic energy (from the wheel moving downhill) and its rotational kinetic energy (from the wheel spinning).
Why is it significant that friction does not dissipate energy during ideal rolling without slipping?
This means that mechanical energy is conserved for an object rolling without slipping on a surface, which is a key principle in solving energy-related problems.
What are the two forms of kinetic energy that a rolling object possesses?
A rolling object possesses both translational kinetic energy, due to the motion of its center of mass, and rotational kinetic energy, due to its rotation about its center of mass.
Describe the motion of a system that is rolling while slipping.
This is a motion where the translational and rotational motions are not synchronized, meaning the relationship $v = R\omega$ does not hold (e.g., a car's wheels spinning on ice).
A bowling ball with radius R has a center of mass moving at speed v. If it is rolling without slipping, what is its angular speed, ω?
Because the ball is rolling without slipping, its angular speed is given by the relationship $\omega = v/R$.
What is the key relationship between translational and rotational motion for an object rolling without slipping?
The translational velocity of the center of mass is related to the rotational velocity by $v = R\omega$, and the translational acceleration is related to the rotational acceleration by $a = R\alpha$.
What condition must be met for the equation $a = R\alpha$ to be valid for a rolling object?
The object must be rolling without slipping, which means the point of contact with the surface is instantaneously at rest.
How is the total kinetic energy of a system with both translational and rotational motion calculated?
The total kinetic energy is the sum of the system’s translational kinetic energy and its rotational kinetic energy, expressed as $K_{tot} = K_{trans} + K_{rot}$.
In the ideal case of rolling without slipping, what is the role of the frictional force regarding energy?
The frictional force does not dissipate any energy from the rolling system. It provides the necessary torque for the object to roll.