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What is the effect of increasing the distance of mass from the axis of rotation?

Increases rotational inertia.

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What is the effect of increasing the distance of mass from the axis of rotation?

Increases rotational inertia.

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

Causes angular acceleration.

What happens when a figure skater pulls their arms inward during a spin?

Their rotational inertia decreases, and their angular speed increases.

What is the effect of increasing rotational inertia on angular acceleration, given a constant torque?

Decreases angular acceleration.

What happens when an object rolls without slipping?

The linear speed of its center of mass is related to its angular speed by vcm=Rωv_{cm} = R\omega.

Label the forces acting on the block in the diagram.

1: Tension (T) upwards, 2: Weight (mg) downwards

Label the forces acting on the disk in the diagram.

1: Tension (T) tangential, 2: Weight (Mg) downwards, 3: Normal force (N) upwards

In the diagram of a hollow vs. solid cylinder rolling down an incline, which has greater rotational inertia?

The hollow cylinder has a greater rotational inertia.

What is the difference between linear and angular velocity?

Linear velocity: Describes the rate of change of an object's position in a straight line. Angular velocity: Describes the rate of change of an object's angular position during rotation.

How does linear inertia differ from rotational inertia?

Linear inertia (mass): Resistance to changes in linear motion, depends only on mass. Rotational inertia: Resistance to changes in rotational motion, depends on mass and its distribution relative to the axis of rotation.

Compare linear and angular acceleration.

Linear acceleration: The rate of change of linear velocity. Angular acceleration: The rate of change of angular velocity.

Compare force and torque.

Force: A push or pull that causes linear acceleration. Torque: A twisting force that causes angular acceleration.

What is the difference between linear momentum and angular momentum?

Linear momentum: Mass in motion in a straight line. Angular momentum: Rotational inertia in motion.