Due to slipping, points and B on the rim of the disk have the velocities A = 6.3 ft/s and vB = 12.6 ft/s. (Figure 1) Figure E VB 45 B C 0.8 ft D 30° 1 of 1 Part A Determine the velocity of the center point C at this instant. Express your answer to three significant figures and include the appropriate units. UC = Submit Part B μÀ Value Request Answer HA Determine the velocity of the point D at this instant. Express your answer to three significant figures and include the appropriate units. UD= Value Units Submit Request Answer ? Units ?

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 Description

**Objective:**
To determine the velocities of specific points on a disk that is experiencing slipping motion.
 
### Given Information:
- Due to slipping, points \( A \) and \( B \) on the rim of the disk have the velocities:
  - \( v_A = 6.3 \, \text{ft/s} \)
  - \( v_B = 12.6 \, \text{ft/s} \)

### Figure Details:
- The figure shows a circular disk with:
  - Radius of \( 0.8 \, \text{ft} \)
  - Points labeled as \( A, B, C, D, E, F \)
  - Angles and directions indicated for each velocity vector:
    - The velocity \( v_A \) is horizontally to the right.
    - The velocity \( v_B \) is vertically upwards.
    - Angle \( \angle BAC = 30^\circ \)
    - Angle \( \angle CBD = 45^\circ \)

### Tasks:

#### Part A:
- **Objective:** Determine the velocity of the center point \( C \) at this instant.
- **Instructions:** 
  - Express the answer to three significant figures.
  - Include appropriate units.
  - Input answer in the format: \( v_C = \text{Value} \, \text{Units} \)

#### Part B:
- **Objective:** Determine the velocity of point \( D \) at this instant.
- **Instructions:** 
  - Express the answer to three significant figures.
  - Include appropriate units.
  - Input answer in the format: \( v_D = \text{Value} \, \text{Units} \)

Use the given velocity vectors, geometry of the setup, and trigonometry to solve for the required velocities.
Transcribed Image Text:## Problem Description **Objective:** To determine the velocities of specific points on a disk that is experiencing slipping motion. ### Given Information: - Due to slipping, points \( A \) and \( B \) on the rim of the disk have the velocities: - \( v_A = 6.3 \, \text{ft/s} \) - \( v_B = 12.6 \, \text{ft/s} \) ### Figure Details: - The figure shows a circular disk with: - Radius of \( 0.8 \, \text{ft} \) - Points labeled as \( A, B, C, D, E, F \) - Angles and directions indicated for each velocity vector: - The velocity \( v_A \) is horizontally to the right. - The velocity \( v_B \) is vertically upwards. - Angle \( \angle BAC = 30^\circ \) - Angle \( \angle CBD = 45^\circ \) ### Tasks: #### Part A: - **Objective:** Determine the velocity of the center point \( C \) at this instant. - **Instructions:** - Express the answer to three significant figures. - Include appropriate units. - Input answer in the format: \( v_C = \text{Value} \, \text{Units} \) #### Part B: - **Objective:** Determine the velocity of point \( D \) at this instant. - **Instructions:** - Express the answer to three significant figures. - Include appropriate units. - Input answer in the format: \( v_D = \text{Value} \, \text{Units} \) Use the given velocity vectors, geometry of the setup, and trigonometry to solve for the required velocities.
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