Refer to the picture below. **Title: Understanding Angular Momentum in Rotational Mechanics****Problem Setup:**An 80 kg student is running at a speed of 4.5 m/s when she leaps onto a disc-shaped playground toy positioned as shown in the diagram. The disc, which weighs 110 kg, is free to rotate around its fixed center and has a radius of 1.3 meters.**Important Concepts and Equations:**- **Moment of Inertia:** - For a point like the student, \( I = mr^2 \). - For a disc, \( I = \frac{1}{2}mr^2 \).- **Angular Speed (\(\omega\)):** - Angular speed is measured in radians per second (rad/s).- **Angular Momentum (\(L\)):** - Calculated as \( L = I \cdot \omega \).**Task:**Determine the following relative to the center of the disc:1. Moment of inertia for the student, disc, and combined system.2. Angular speeds for the student, disc, and combined system.3. Angular momenta for the student, disc, and combined system.**Diagrams:**1. **Top View:** - The disc is shown with a radius marked as 0.8 meters, with the student jumping onto it. 2. **Side View:** - Illustrates the student running and then leaping onto the disc.**Data Table to Complete:** | | \( I \) (kg m²) | \( \omega \) (rad/s) | \( L \) (kg m²/s) ||-----------------------|-----------------|----------------------|--------------------|| student (running) | | | || disc (at rest) | | | || combined system | | | |**Final Question:**How quickly will the disc and student spin together (in given units of rpm)?**Explanation of Concepts Illustrated in Diagrams:**- **Top View:** - Shows the rotation radius from the center of the disc to the point where the student makes contact.- **Side View:** - Depicts the sequence of motion of the student as she leaps onto the disc, transitioning from linear to rotational movement.To solve the problem, follow these steps:1. Calculate the individual moments of inertia:

The student is going to jump on the disc and we need to calculate certain parameters based on…

A 80kg student is running with a speed of 4.5m/s when she leaps onto a disc- shaped play ground toy at the position shown. The 110kg disc is free to around it's fixed center and has a radius of 1.3m. The moment of inertia of a point (like the student) is I = mr2. The moment of inertia top view: of any disc is I = 1/2mr?. 0.8m Determine all of the following moments of inertia, angular speeds and angular momenta relative to the center of the disc. side view: kg m2 v rad/s v kg m2/s v student (running) disc (rest) combined How quickly will the disc and student spin (in given units)? rpm

A 80kg student is running with a speed of 4.5m/s when she leaps onto a disc- shaped play ground toy at the position shown. The 110kg disc is free to around it's fixed center and has a radius of 1.3m. The moment of inertia of a point (like the student) is I = mr2. The moment of inertia top view: of any disc is I = 1/2mr?. 0.8m Determine all of the following moments of inertia, angular speeds and angular momenta relative to the center of the disc. side view: kg m2 v rad/s v kg m2/s v student (running) disc (rest) combined How quickly will the disc and student spin (in given units)? rpm

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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