Torque and Rotational Motion

Torque Increases

There Is No Relation Between Torque And Radius

Torque Decreases

Torque Stays Same

Her speed of rotation decreases.

Her mass is redistributed but her rotational speed is unaffected.

Her speed of rotation increases.

Her speed remains constant but she experiences greater torque.

The end of the wrench

The midpoint of the wrench

One quarter the wrench's length away from the center of rotation

Three quarters the wrench's length away from the center of rotation

IF

Fa

rF

ma

0.50m from the left of the beam

0.25m from the left of the beam

4.25m from the left of the beam

0.75m from the left of the beam

Apply a force of $4F$ perpendicularly a distance of $\frac{L}{2}$ away from the center of rotation

Apply a force of $3F$ perpendicularly a distance of $\frac{L}{2}$ away from the center of rotation

Apply a force of $3F$ perpendicularly a distance of $\frac{L}{4}$ away from the center of rotation

Apply a force of $2F$ perpendicularly to the end of the wrench

Total potential energy

Total kinetic energy

Total angular momentum

Total linear momentum

The angular acceleration will be greater when force is applied at the rim due to longer lever arm distance.

The angular acceleration will be lower when force is applied at the rim as there's more air resistance.

There will be no change in angular acceleration regardless of where the force is applied since it's constant.

The wheel will rotate linearly along its axis instead of spinning when force is not applied close enough to its center.

The angular momentum decreases as the system loses energy through friction.

The angular momentum increases as rotational velocity slows down due to the principle of conservation of energy being transformed.

Angular momentum is unaffected by changes in rotational speed since it is related only to the initial spin state of the object.

The angular momentum remains the same because it's a conserved quantity independent of external forces.

Kinetic energy

Centripetal force

Linear velocity

Angular velocity