All Flashcards
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.
How do you calculate net torque?
- Identify all individual torques acting on the object. 2. Determine the direction (clockwise or counterclockwise) of each torque. 3. Sum all torques, considering counterclockwise torques as positive and clockwise torques as negative.
What are the steps to apply Newton's Second Law for Rotation?
- Calculate the net torque acting on the object. 2. Determine the moment of inertia (I) of the object. 3. Use the formula to find the angular acceleration ().
How do you determine the direction of torque using the right-hand rule?
- Point your fingers in the direction of the position vector (). 2. Curl your fingers towards the direction of the force vector (). 3. Your thumb points in the direction of the torque vector ().
Describe the steps to determine if a system is in rotational equilibrium.
- Identify all torques acting on the system. 2. Determine the direction (clockwise or counterclockwise) of each torque. 3. Calculate the net torque. 4. If the net torque is zero, the system is in rotational equilibrium.
How to solve problems involving rotational equilibrium?
- Draw a free-body diagram. 2. Choose a rotation axis. 3. Calculate the individual torques. 4. Set the sum of torques to zero. 5. Solve for unknowns.
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.