Torque and Rotational Motion
Suppose an object experiences an initial torque of 15 N*m while lying down on a rough table. It stops spinning after making 1.5 revolutions. What is the work done by friction in bringing the object to rest?
100J
141 J
45 J
22.5 J
A disk rotating counterclockwise slows down as friction acts at its edge; which statement correctly describes how friction affects its angular impulse?
Friction doesn't deliver any-angular-impulse as there's no change in external forces.
Friction delivers a negative-angular-impulse, decreasing both rotation rate and clockwise-angular-momentum.
Though motion slows, friction adds equal-and-opposite-angular-impulses so total-angular-momentum stays the same.
Friction creates positive-angular-impulse, increasing its counterclockwise-angular-momentum.
A gymnast performs a somersault by tucking into a tight ball mid-air - how might variations in body density distribution challenge predictions from ideal rigid body dynamics models assuming uniform density?
The differing muscle strengths across his body uniformly contribute additional torques evenly throughout his rotation.
Uneven density distribution leads to variable moments of inertia complicating calculation of final rotational velocity.
Deviations from expected aerodynamic drag have minimal impact given streamlined body positions during somersaults.
Gravity significantly alters trajectory curve shapes due simply because spatial orientation changes mid-somersault.
What alteration in an experimental setup using a spinning disk could cause both an increase in torque and conservation of angular momentum without altering the applied force or mass distribution?
Decreasing radius where force is applied while keeping force direction tangential.
Increasing radius where force is applied while keeping force direction tangential.
Applying force radially instead of tangentially without changing position.
Keeping radius constant but applying greater impulse over shorter time period.
Which statement best describes the relationship between angular momentum, moment of inertia, and rotational speed of a rotating object?
Faster spinning always equates to bigger angular momentums.
Moment of inertia is a fixed property and doesn't influence angular momentum.
Angular momentum varies directly with the moment of inertia and inversely with the rotational speed.
Angular momentum is conserved and cannot be altered without external torques applied.
If two ice skaters with identical mass start spinning with their arms extended and one pulls his arms closer while spinning, how do their final moments of inertia compare?
Both skaters have identical moments of inertia throughout their spins.
Initially different, their final moments become equal once they synchronize speeds again after pulling in their arms.
The skater who pulled his arms closer has a larger final moment of inertia due to increased speed.
The skater who pulls his arms closer has a smaller final moment of inertia.
Which factor does not affect the torque applied to a rotating body?
The angle between the lever arm and direction of force application
The mass of the rotating body
The magnitude of the force applied
The distance from the pivot point to where the force is applied

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What is the change in angular momentum of a metal rod initially at rest that experiences a net torque of 24 N*m over a span of 10 seconds?
240 kgm/s
24 kgm/s
2.4 kgm/s
2400 kgm/s
If no net external torque acts on a spinning wheel, what will happen to its rotational motion over time?
It will continue spinning at constant angular velocity.
The wheel will gradually slow down until it stops.
The wheel will spin faster over time.
The wheel's angular velocity will periodically change.
A student applies two different forces at perpendicular distances from a pivot point; under what condition will these forces produce equal torques?
When one force is double the other, and its distance from pivot is half that of the other force’s distance
When both forces have the same magnitude regardless of their distances from pivot
When both forces are applied at the same distance but at different angles relative to radius
When the product of each force and its distance from the pivot are equal