All Flashcards
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.
What is the effect of a non-zero net torque?
It causes angular acceleration, changing the object's angular velocity.
What happens when the net torque on an object is zero?
The object maintains a constant angular velocity (rotational equilibrium).
What is the effect of increasing the distance from the axis of rotation when applying a force?
It increases the magnitude of the torque, assuming the force remains constant.
What is the effect of increasing the moment of inertia given constant net torque?
It decreases the angular acceleration.
What happens when a force is applied at the center of mass?
There is no torque generated, and the object will only undergo translational motion.
What is Rotational Equilibrium?
The state where an object maintains a constant angular velocity due to zero net torque.
What is Torque?
The rotational equivalent of force, calculated as , causing an object to rotate.
What is Angular Velocity?
The rate at which an object rotates or revolves relative to another point, i.e. how many radians per second the object turns.
What is Angular Acceleration?
The rate of change of angular velocity, resulting from a net torque.
Define Moment of Inertia.
A measure of an object's resistance to changes in its rotation rate. Represented by 'I' in rotational dynamics.
What is Newton's First Law for Rotation?
An object maintains a constant angular velocity unless acted upon by a net torque.