The disk of radius r is confined to roll without slipping at A and B as shown in (Figure 1). Figure < 1 of 1 > ▾ Part A If the plates have the velocities shown, determine the angular velocity of the disk. Express your answer in terms of some, all, or none of the variables rand v. Enter positive value if the angular velocity is counterclockwise and negative value if the angular velocity W = ■V Submit Provide Feedback ΑΣΦΑ Request Answer ? clockwise. Next >

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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### Problem Statement

**Context:**

- The disk has a radius \( r \) and is constrained to roll without slipping at points \( A \) and \( B \).

### Task: Part A

**Objective:**

- Determine the angular velocity \( \omega \) of the disk.

**Instructions:**

- Express your answer in terms of some, all, or none of the variables \( r \) and \( v \).
- Enter a positive value if the angular velocity is counterclockwise and a negative value if it is clockwise.

**Input Field:**

\[ \omega = \]
- [Submit Button]
- [Request Answer Link]

### Figure Description

- **Figure 1:** 
  - A circular disk is positioned between two horizontal plates.
  - The disk rolls without slipping.
  - **Velocity of the plates:**
    - Top plate: moving left with velocity \( v \).
    - Bottom plate: moving left with velocity \( 2v \).
  - **Contact Points:**
    - Point \( A \) on the top of the disk.
    - Point \( B \) on the bottom of the disk.
    - The disk rolls without slipping at these points.

### Additional Features

- [Provide Feedback Link]

This setup illustrates the principles of angular motion when a body is subject to specific velocity constraints at contact points. The focus is on understanding the relationship between linear and angular velocities under no-slip conditions.
Transcribed Image Text:### Problem Statement **Context:** - The disk has a radius \( r \) and is constrained to roll without slipping at points \( A \) and \( B \). ### Task: Part A **Objective:** - Determine the angular velocity \( \omega \) of the disk. **Instructions:** - Express your answer in terms of some, all, or none of the variables \( r \) and \( v \). - Enter a positive value if the angular velocity is counterclockwise and a negative value if it is clockwise. **Input Field:** \[ \omega = \] - [Submit Button] - [Request Answer Link] ### Figure Description - **Figure 1:** - A circular disk is positioned between two horizontal plates. - The disk rolls without slipping. - **Velocity of the plates:** - Top plate: moving left with velocity \( v \). - Bottom plate: moving left with velocity \( 2v \). - **Contact Points:** - Point \( A \) on the top of the disk. - Point \( B \) on the bottom of the disk. - The disk rolls without slipping at these points. ### Additional Features - [Provide Feedback Link] This setup illustrates the principles of angular motion when a body is subject to specific velocity constraints at contact points. The focus is on understanding the relationship between linear and angular velocities under no-slip conditions.
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