1. Dylan sits on a bar stool, with his feet off of the floor. The seat of the bar stool is free to rotate. Dylan is holding a wheel (moment of inertia =1.82kg m²) that is spinning counterclockwise at an angular speed of15.40rad/s, as shown below, and Dylan and the bar stool are not rotating. (Dylan + the bar stool have a moment of inertia of49.80kg m².) Dylan, being curious, presses his hand against the edge of the wheel (applying an internal torque), and the angular speed of the wheel slows to1.72rad/s. What happens to Dylan?

a) What is the magnitude of the total angular momentum of the system? kg m²/s b) What is the magnitude of Dylan`s angular velocity when the wheel is spinning at1.72rad/s? rad/s

2. Claire sits on a bar stool, with her feet off of the floor. The seat of the bar stool is free to rotate. Claire is holding a wheel (moment of inertia =1.79kg m²) that is spinning counterclockwise at an angular speed of18.60rad/s, as shown below. Claire and the bar stool are stationary. (Claire + the bar stool have a moment of inertia of55.00kg m².) Claire, being adventurous, flips the axle of the wheel by 180^o(applying an internal torque) and holds the wheel in place. What happens to Claire and the wheel?

(b) What is the total angular momentum of the system? Magnitude kg m²/s Direction

down (clockwise)up

(counterclockwise)

(c) What is the angular momentum of the wheel after Claire flips it over? Magnitude kg m²/s Direction

down (clockwise)

up (counterclockwise)

(d) What is (the bar stool + Claire)`s angular momentum after Claire flips the wheel over? Magnitude? kg m²/s Direction?

down (clockwise)

up (counterclockwise)

(e) What is Claire`s angular velocity after she flips the wheel over? Magnitude? rad/s Direction? down (clockwise)

up (counterclockwise)