**Physics Problem: Rolling Without Sliding****Problem Statement:**A spinning solid disk, rotating with angular velocity \( \omega_0 \), is put down on a level surface. It slides and rolls until it reaches an angular velocity \( \omega \) at which it rolls without sliding. Show that \( \omega = \frac{\omega_0}{3} \).This problem exemplifies the transition between sliding and rolling motion, a fundamental aspect of rotational dynamics. When an object transitions from spinning to rolling without slipping, it mass must change, while angular velocity properly adjust according to physical principles.Would you like more detailed conceptual explanation to supplement this problem?---This transcription is designed to guide students on a physics educational website through understanding and solving the problem related to the dynamics of rotational motion. For better comprehension, supplementary explanations and diagrams might be provided in the educational context. If you have any questions or need a particular concept to be explained, feel free to ask!

Solution: We know that, the moment of inertia of solid disk is given as:I =12mr2where, m is mass and…

A spinning solid disk, rotating with angular velocity w, is put down on a level surface. It slides and rolls until it reaches an angular Show that rologi+ (11 at which it rolls without sliding. w = w/3.

A spinning solid disk, rotating with angular velocity w, is put down on a level surface. It slides and rolls until it reaches an angular Show that rologi+ (11 at which it rolls without sliding. w = w/3.

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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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

**Physics Problem: Rolling Without Sliding**

**Problem Statement:**

A spinning solid disk, rotating with angular velocity \( \omega_0 \), is put down on a level surface. It slides and rolls until it reaches an angular velocity \( \omega \) at which it rolls without sliding. Show that \( \omega = \frac{\omega_0}{3} \).

This problem exemplifies the transition between sliding and rolling motion, a fundamental aspect of rotational dynamics. When an object transitions from spinning to rolling without slipping, it mass must change, while angular velocity properly adjust according to physical principles.

Would you like more detailed conceptual explanation to supplement this problem?

---

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