Rotation in AP Physics C: Mechanics
When analyzing the rotational motion of a solid sphere down an incline without slipping, which approximation would most significantly alter the calculated acceleration?
Neglecting air resistance acting on the sphere.
Considering the sphere's radius to be uniform throughout.
Assuming no rolling resistance between the sphere and incline.
Treating the incline as perfectly rigid.
If a rigid body is spinning freely with no external torques, which of the following quantities must remain constant?
Angular momentum
Rotational kinetic energy
Angular acceleration
Moment of inertia
What physical quantity measures an object’s resistance to changes in its rotational motion?
Moment of inertia
Angular acceleration
Tensional strength
Tangential speed
How would increasing only radial distances between particles within a rotating rigid body affect its moment of inertia?
The moment of inertia decrements.
The moment of inertia remains unchanged.
The moment of inertia cannot be determined without additional information about the overall shape.
The moment of inertia increments.
What happens to the angular momentum of a system if external torques are applied for a certain time interval but the moment of inertia of the system remains constant?
Angular momentum decreases inversely proportionally with the time interval applied.
Angular momentum of the system remains unchanged during that time.
Angular momentum increases quadratically with the time interval applied.
Angular momentum of the system increases proportionately with the time interval applied.
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.

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In rotational kinematics, what does "ω" represent?
Angular frequency
Linear velocity
Angular displacement
Angular velocity
In an isolated system where two point masses are connected by a rigid rod rotating about its center in free space, what happens to their rotational speed when one mass is slowly moved towards the center?
Rotational speed first increases then decreases due to complex dynamic adjustments.
The rotational speed decreases due to conservation of momentum.
Rotational speed increases.
No change; isolated systems do not permit internal motion-induced variations in overall rotation.
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.