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What is the effect of applying an external torque to a rotating object?

It changes the object's angular momentum.

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What is the effect of applying an external torque to a rotating object?

It changes the object's angular momentum.

What happens when a figure skater pulls their arms in?

Their moment of inertia decreases, and their angular speed increases, conserving angular momentum.

What is the effect of no net external torque on a system?

The total angular momentum of the system is conserved.

What happens to angular speed if the moment of inertia decreases in a closed system?

The angular speed increases to conserve total angular momentum.

What is the effect of angular impulse on an object?

It changes the object's angular momentum.

What is the key difference between angular momentum and linear momentum?

Angular momentum is for rotational motion, while linear momentum is for straight-line motion. Both are conserved, but under different conditions.

Compare the effects of internal vs. external forces on angular momentum.

Internal forces do not change the total angular momentum of a system. External forces (torques) are required to change the total angular momentum.

Compare a system with zero external torque and a system with nonzero external torque in terms of angular momentum.

Zero external torque: Angular momentum is conserved and remains constant. Nonzero external torque: Angular momentum changes due to angular impulse from the torque.

Compare the roles of moment of inertia and angular velocity in determining angular momentum.

Moment of inertia (I) is the resistance to rotational change, while angular velocity (ω) is the rate of rotation. Angular momentum (L) is the product of these two: L = Iω.

Compare rigid and non-rigid systems in the context of angular momentum.

Rigid system: Moment of inertia is constant unless external forces act. Non-rigid system: Moment of inertia can change due to changes in shape or mass distribution, affecting angular speed.

How do you calculate angular impulse?

Angular impulse can be calculated using the integral ∫τ⃗dt\int \vec{\tau} dt or τ⃗Δt\vec{\tau} \Delta t for a constant torque.

How do you find the total angular momentum of a system?

Add up the angular momenta of all its parts, considering each component's angular momentum relative to the axis of rotation.

What is the impulse-momentum theorem for rotational motion?

The change in angular momentum ΔL⃗\Delta \vec{L} is equal to the angular impulse.

How to determine the new angular speed when the moment of inertia changes in a closed system?

Since L=IωL = I\omega is constant, if I decreases, then ω must increase proportionally to keep L constant.

How do you analyze collisions involving rotating objects using angular impulse?

Apply the principle of conservation of angular momentum, considering the angular impulse during the collision to relate initial and final angular momenta.