Rotation in AP Physics C: Mechanics

There is no effect on the merry-go-round as linear motion doesn't affect rotational systems.

The merry-go-round stops spinning because throwing alters its center of mass.

The merry-go-round accelerates its spin in the same direction due to increased kinetic energy transfer.

The merry-go-round spins in the opposite direction due to conservation of angular momentum.

Moment of inertia increases, twist rate decreases.

Both moment of inertia and twist rate remain unchanged.

Moment of inertia remains unchanged, twist rate increases due to newly applied torque.

Moment of inertia decreases, twist rate increases.

Angular momentum is not conserved when internal forces are present.

Angular momentum is conserved in a system with no external torques.

Angular momentum changes proportionally with time in a closed system.

Angular momentum depends on the mass of an object alone, not its velocity or radius.

Linear momentum is always greater than angular momentum regardless of motion.

Angular momentum is analogous to linear momentum but for rotational motion.

Angular and linear momenta are independent quantities that cannot be compared.

Linear and angular momenta are equivalent and interchangeable terms in physics.

Dropping identically sized metal balls through viscous fluids, noting terminal falling velocities achieved in respective cases.

Observing descent rates of spherical weights rolling down inclined planes without slippage, attributing differences solely to kinetic energies gained.

Measuring periods of simple pendulums constructed from materials of differing densities but equal lengths suspensions pivot points.

Rotating diverse-shaped objects using identical applied torques, timing spin-up durations until reaching the same final rotations per minute.

Angular acceleration will increase because ejecting mass from a rotating system always increases angular rates.

Rotation rate will remain unchanged because only linear dynamics affect spinning systems.

There will be no effect as throwing the ball transmits equal and opposite forces cancelling each other out.

The merry-go-round's rotation rate will change due to conservation laws involving exchange of angular momentum with the ball.

F_net = ma

p_initial = p_final

KE_initial = KE_final

L_initial = L_final

It stays the same.

It increases.

It reverses direction.

It decreases.

Newton meter second (N·m·s).

Joule second (J·s).

Kilogram meter per second squared (kg·m/s^2).

Kilogram meter squared per second (kg·m^2/s).

Centripetal force

Linear momentum

Angular momentum

Total energy