Solve a b and c

Physics 121 Fall 2025 Document #24: Homework #08 Reading Assignment page 6 of 6 Problem 5: Lecture Demonstration An impressive physics demonstration can be done using two props as show above, namely, a bicycle wheel with hand-grips on the axle and a low-friction-bearing turntable. Here's how the demonstration works. The student gets the bicycle wheel spinning at a good speed. The wheel is spinning clockwise as seen from above. Then he carefully steps up on the turntable so that he is free to rotate. The student is not rotating at first, but then the student flips axis of the wheel 180 degrees and something interesting happens. Part (a) : Suppose the rotational inertia (also called the moment of inertia) of the bicycle wheel is given as /;,. Suppose the wheel is spinning with a given rotational speed wo. What is the magnitude of the angular momentum of the spinning wheel? In which direction does the angular momentum vector point? Indicate the vector direction assuming that the x-axis points horizontally (to the right) the y-axis points horizontally (into the page) and the z-axis points vertically (up) as shown. Give your answer symbolically in terms of given parameters. Explain how you know this. Part (b) : Describe what happens to the student when he starts to flip the wheel? What is the whole point of this demonstration? Two or three sentences only please. Part (c) : Suppose the wheel starts with the axle in a (nearly) vertical direction as shown in the photo. Suppose the rotational inertia of the student is given as /,. What is the magnitude and vector direction of the student's rotational velocity after he flips the wheel? Give your answer symbolically in terms of given parameters. Explain your work