Experiment 1: The student places his arm against the side of the wheel, Experiment 2: The student places his arm against the side of the wheel, show slowing it to half its initial angular speed. bringing it to a stop. Experiment 3: The student quickly flips the wheel over (so that it is spinning clockwise when viewed from above, with the same angular speed it had initially). A Predict whether the student will rotate clockwise, rotate counterclockwise or remain at rest at the end of each experiment. Explain. B. Rank the three experiments according to angular speed of the student at the end of the experiment, from largest to smallest. If the final angular speed of the student is the same in any two experiments, state so explicitly. Explain.
Experiment 1: The student places his arm against the side of the wheel, Experiment 2: The student places his arm against the side of the wheel, show slowing it to half its initial angular speed. bringing it to a stop. Experiment 3: The student quickly flips the wheel over (so that it is spinning clockwise when viewed from above, with the same angular speed it had initially). A Predict whether the student will rotate clockwise, rotate counterclockwise or remain at rest at the end of each experiment. Explain. B. Rank the three experiments according to angular speed of the student at the end of the experiment, from largest to smallest. If the final angular speed of the student is the same in any two experiments, state so explicitly. Explain.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Could you help with A and B?
Transcribed Image Text:### Conservation of Angular Momentum
#### II. Angular Momentum as a Conserved Vector Quantity
A student sits at rest on a stool and holds a spinning bicycle wheel, as shown in the accompanying illustration. Consider the following three separate experiments:
- **Experiment 1**: The student places his arm against the side of the wheel, slowing it to half its initial angular speed.
- **Experiment 2**: The student places his arm against the side of the wheel, bringing it to a stop.
- **Experiment 3**: The student quickly flips the wheel over (so that it is spinning clockwise when viewed from above, with the same angular speed it had initially).
**A.** Predict whether the student will rotate clockwise, rotate counterclockwise, or remain at rest at the end of each experiment. Explain.
**B.** Rank the three experiments according to the angular speed of the student at the end of the experiment, from largest to smallest. If the final angular speed of the student is the same in any two experiments, state so explicitly. Explain.
**C.** Complete the angular momentum vector diagrams at right, where \(L_W\) and \(L_S\) are the angular momentum of the wheel and student, respectively. Are your predictions above consistent with the results of your diagrams? If not, resolve the inconsistency.
The diagrams include:
- **Initial and Final Vector Diagrams for each Experiment**:
- Diagrams are grids where vector arrows can be placed to represent the direction and magnitude of angular momentum. Each experiment's initial and final states need to be shown.
**D.** How, if at all, would your predictions in part A differ if the direction of angular momentum were determined using the left hand instead of the right? Explain.
**E.** Observe the demonstration and check your predictions from part A. If your observations are different from your predictions, make a note of it. Is the ranking that you observed consistent with the assumption that the total angular momentum of the student-wheel system is constant? If not, resolve the inconsistency.
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This component helps students understand the conservation of angular momentum through practical, real-world examples and hands-on experimentation. It also encourages the use of vector diagrams to visualize the principles at work.
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