A student sits on a freely rotating stool holding two dumbbells, each of mass 2.97 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 1.06 m from the axis of rotation and the student rotates with an angular speed of 0.749 rad/s. The moment of inertia of the student plus stool is 2.72 kg·m² and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.298 m from the rotation axis (Figure b).**Figures Description:**- **Figure a**: The student is holding the dumbbells with arms fully extended.- **Figure b**: The student is holding the dumbbells closer to the body, reducing the distance from the axis.1. **Question (a):** Find the new angular speed of the student. - Input field for result: _____ rad/s2. **Question (b):** Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. - \( K_{\text{before}} = \) _____ J - \( K_{\text{after}} = \) _____ J

Given, Mass of dumbbell, md=2.97 kg, distance of dumbbell when arms extended, x1=1.06 m, angular…

Answered: (a) Find the new angular speed of the…

(a) Find the new angular speed of the student. rad/s (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. Kbefore= Kafter

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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Question

A student sits on a freely rotating stool holding two dumbbells, each of mass 2.97 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 1.06 m from the axis of rotation and the student rotates with an angular speed of 0.749 rad/s. The moment of inertia of the student plus stool is 2.72 kg·m² and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.298 m from the rotation axis (Figure b).

**Figures Description:**

- **Figure a**: The student is holding the dumbbells with arms fully extended.
- **Figure b**: The student is holding the dumbbells closer to the body, reducing the distance from the axis.

1. **Question (a):** Find the new angular speed of the student.
- Input field for result: _____ rad/s

2. **Question (b):** Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward.
- \( K_{\text{before}} = \) _____ J
- \( K_{\text{after}} = \) _____ J

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