All Flashcards
What is the effect of decreasing the moment of inertia on angular velocity, if angular momentum is conserved?
Angular velocity increases.
What is the effect of an external torque on a system's angular momentum?
The angular momentum changes; it is no longer conserved.
What is the effect of dropping a mass at the edge of a rotating disk on the system's angular velocity?
The angular velocity decreases because the moment of inertia of the system increases.
What is the effect of the gravitational force on a planet's angular momentum in a closed orbit?
Since the gravitational force is a central force, there's no external torque on the planet, so angular momentum is conserved.
What is the effect of a disk bouncing back from a rod after collision on the rod's angular speed?
The rod's angular speed will be greater.
In the skater example, describe what happens to I and when the skater pulls their arms in.
Moment of inertia (I) decreases because mass is closer to the axis of rotation. Angular velocity () increases to conserve angular momentum.
In the planetary motion diagram, explain why angular momentum is conserved.
Gravitational force is a central force, resulting in no external torque on the planet. Therefore, angular momentum is conserved.
Compare linear and angular momentum.
Linear momentum: mass in linear motion, conserved when no external forces act. Angular momentum: rotational inertia in rotational motion, conserved when no external torques act.
Differentiate between linear and angular velocity in planetary motion.
Linear velocity: changes as a planet orbits (faster closer to the star). Angular velocity: constant, ensuring equal areas are swept out in equal times (Kepler's 2nd Law).