All Flashcards
What are the differences between translational and rotational equilibrium?
Translational Equilibrium: Zero net force, constant linear velocity. Rotational Equilibrium: Zero net torque, constant angular velocity.
Compare Free-Body Diagrams and Torque Diagrams.
Free-body diagrams: Show forces acting on an object. Torque diagrams: Show both forces and the resulting torques.
Compare angular velocity and angular acceleration.
Angular Velocity: Rate of change of angular position (ω). Angular Acceleration: Rate of change of angular velocity (α).
Compare linear momentum and angular momentum.
Linear Momentum: Mass in motion (p = mv). Angular Momentum: Rotational inertia in motion (L = Iω).
What are the differences between static and dynamic rotational equilibrium?
Static Rotational Equilibrium: Object is at rest (ω = 0). Dynamic Rotational Equilibrium: Object is rotating with constant angular velocity (ω ≠ 0, but constant).
What is Rotational Equilibrium?
The state where an object maintains a constant angular velocity, meaning the net torque acting on it is zero.
What is Torque?
A rotational force that causes an object to rotate around an axis. It's calculated as τ = rFsinθ.
What is Angular Velocity?
The rate at which an object rotates or revolves relative to another point, i.e. how many radians the object turns in a given time period.
What is Moment of Inertia?
A measure of an object's resistance to changes in its rotational motion. It depends on the object's mass and how that mass is distributed relative to the axis of rotation.
Define Angular Acceleration.
The rate of change of angular velocity with respect to time. It's caused by a net torque acting on an object.
What is Angular Momentum?
The measure of the extent to which an object will continue to rotate; it is the rotational analogue of linear momentum.
What are the key differences between translational and rotational equilibrium?
Translational Equilibrium: Constant linear velocity, zero net force. | Rotational Equilibrium: Constant angular velocity, zero net torque.
Compare Newton's First Law for linear motion and rotational motion.
Linear Motion: An object maintains constant velocity unless acted upon by a net force. | Rotational Motion: An object maintains constant angular velocity unless acted upon by a net torque.
Compare Newton's Second Law for linear motion and rotational motion.
Linear Motion: Net force equals mass times acceleration (). | Rotational Motion: Net torque equals moment of inertia times angular acceleration ().
Compare force and torque.
Force: A linear push or pull. | Torque: A rotational 'twist' or turning force.
Compare linear and angular acceleration.
Linear Acceleration: The rate of change of linear velocity. | Angular Acceleration: The rate of change of angular velocity.