Rotation in AP Physics C: Mechanics
If two children sitting on opposite edges of a playground merry-go-round with the same radial distance from the center of mass and the merry-go-round is not turning initially, what will happen if one child suddenly jumps off?
There will be no change in angular velocity of the merry-go-round, but the center of mass shifts in the opposite direction to the remaining child.
The merry-go-round will begin to rotate in the opposite direction with the remaining child.
The merry-go-round will rotate in the same direction in which the child jumped off.
The merry-go-round will remain stationary due to balanced torque.
What scenario could lead the precession rate of a gyroscope to accelerate without external torques acting upon it?
Increased rotation of the rotor leads to faster precession due to incorrect gyroscopic coupling effects.
Energy within the system spontaneously converts forms, enabling accelerated precessional movement despite the lack of external influences.
Mass of the rotor redistributed such that its moment of inertia changes, thereby altering natural precessional behavior.
External vibrations transmitted through the support structure modify inherent frequencies, invoking chaotic phenomena leading to increased rates of precession.
What does Newton's first law imply about the motion of an object in the absence of any net external force?
The object will begin moving in circular motion.
The object will gradually come to a stop.
The object will accelerate uniformly in a straight line.
The object will maintain its state of rest or uniform straight-line motion.
What physical quantity represents the angle through which a rigid body rotates?
Linear distance
Angular displacement
Torque
Moment of inertia
When an ice skater pulls her arms inward while spinning, what happens to her rotational speed?
She begins rotating in the opposite direction.
Her rotational speed increases.
Her rotational speed remains unchanged.
Her rotational speed decreases.
What term describes the rate at which angular velocity changes over time?
Tangential Acceleration
Angular momentum
Centripetal Acceleration
Angular acceleration
If a rigid body is rotating with a non-uniform angular velocity due to the application of varying torques, which experimental setup could best determine the relationship between torque and angular acceleration?
Submerging the body in various fluids and recording velocity to study drag effects on rotation.
Dropping the body from different heights and measuring impact times to infer changes in rotational inertia.
Mounting the body on frictionless bearings and measuring its angular acceleration as different known torques are applied.
Attaching massless strings at varying radii and measuring tensile force during uniform circular motion.

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What happens to the angular velocity of a figure skater who starts with arms extended and then pulls them in close to their body?
It decreases.
It remains constant.
It changes direction.
It increases.
What is the term for the energy associated with an object's rotation?
Translational kinetic energy
Rotational kinetic energy
Elastic energy
Potential energy
If a wheel is spinning at a constant rate, what term describes its angular acceleration?
Constant positive
Increasing steadily
Zero
Constant negative