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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 are the steps to solve rotational equilibrium problems?
1. Draw free-body and torque diagrams. 2. Identify a convenient pivot point. 3. Calculate the torque produced by each force. 4. Apply the equilibrium condition (Στ = 0).
How do you calculate torque?
1. Identify the force (F) causing the rotation. 2. Determine the distance (r) from the pivot point to the point where the force is applied. 3. Find the angle (θ) between the force vector and the lever arm. 4. Calculate torque using the formula τ = rFsinθ.
How do you determine if a system is in rotational equilibrium?
1. Identify all forces acting on the object. 2. Calculate the torque produced by each force about a chosen pivot point. 3. Sum all the torques. 4. If the sum of the torques is zero (Στ = 0), the system is in rotational equilibrium.
What are the steps to apply Newton's Second Law for Rotation?
1. Calculate the net torque (Στ) acting on the object. 2. Determine the object's moment of inertia (I) about the axis of rotation. 3. Use the equation Στ = Iα to solve for the angular acceleration (α).
How do you apply the conservation of angular momentum?
1. Identify the system and ensure no external torques are acting on it. 2. Calculate the initial angular momentum (L_initial = I_initial * ω_initial). 3. Calculate the final angular momentum (L_final = I_final * ω_final). 4. Set L_initial = L_final and solve for the unknown variable.
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.