The conveyor belt is moving to the right at v= 12 ft/s, and at the same instant the cylinder is rolling counterclockwise at w = 7 rad/s while its center has a velocity of 4 ft/s to the left. (Figure 1) Figure B W 1 of 1 > ▼ Part A Determine the x and y components of the velocity of the point A on the disk at this instant. Express your answers using three significant figures separated by a comma. ΨΕΙ ΑΣΦ | 11 | vec (VA)z. (VA)y= Submit Part B Request Answer Determine the x and y components of the velocity of the point B on the disk at this instant. Express your answers using three significant figures separated by a comma. (VB)z. (UB)y= IVE| ΑΣΦ | L ft/s vec 3 ft/s

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

A conveyor belt is moving to the right with a velocity of \( v = 12 \, \text{ft/s} \). Simultaneously, a cylinder on the belt is rolling counterclockwise with an angular velocity of \( \omega = 7 \, \text{rad/s} \). The center of the cylinder has a velocity of \( 4 \, \text{ft/s} \) to the left. The system is depicted in Figure 1.

### Figure Explanation

- The figure displays a cylinder, represented with its diameter as a line segment, positioned on a conveyor belt. 
- Point \( A \) is located at the bottom of the cylinder, where it touches the belt.
- Point \( B \) is at the top of the cylinder.
- The center of the cylinder is labeled \( C \).
- The belt moves horizontally to the right, while the rotation of the cylinder is counterclockwise around its central axis \( C \).

### Problem Parts

#### Part A

**Objective:** Determine the \( x \) and \( y \) components of the velocity of point \( A \) on the disk at the current instant.

- **Input Fields:** 
  - \((v_A)_x\), \((v_A)_y\) in \(\text{ft/s}\).
  
- **Instructions:** Express your answers using three significant figures, separated by a comma.

#### Part B

**Objective:** Determine the \( x \) and \( y \) components of the velocity of point \( B \) on the disk.

- **Input Fields:** 
  - \((v_B)_x\), \((v_B)_y\) in \(\text{ft/s}\).

- **Instructions:** Express your answers using three significant figures, separated by a comma.

Both parts include submission buttons and options to request hints or answers. The calculated components should consider both the translational motion of the cylinder's center and its rotational motion.
Transcribed Image Text:### Problem Overview A conveyor belt is moving to the right with a velocity of \( v = 12 \, \text{ft/s} \). Simultaneously, a cylinder on the belt is rolling counterclockwise with an angular velocity of \( \omega = 7 \, \text{rad/s} \). The center of the cylinder has a velocity of \( 4 \, \text{ft/s} \) to the left. The system is depicted in Figure 1. ### Figure Explanation - The figure displays a cylinder, represented with its diameter as a line segment, positioned on a conveyor belt. - Point \( A \) is located at the bottom of the cylinder, where it touches the belt. - Point \( B \) is at the top of the cylinder. - The center of the cylinder is labeled \( C \). - The belt moves horizontally to the right, while the rotation of the cylinder is counterclockwise around its central axis \( C \). ### Problem Parts #### Part A **Objective:** Determine the \( x \) and \( y \) components of the velocity of point \( A \) on the disk at the current instant. - **Input Fields:** - \((v_A)_x\), \((v_A)_y\) in \(\text{ft/s}\). - **Instructions:** Express your answers using three significant figures, separated by a comma. #### Part B **Objective:** Determine the \( x \) and \( y \) components of the velocity of point \( B \) on the disk. - **Input Fields:** - \((v_B)_x\), \((v_B)_y\) in \(\text{ft/s}\). - **Instructions:** Express your answers using three significant figures, separated by a comma. Both parts include submission buttons and options to request hints or answers. The calculated components should consider both the translational motion of the cylinder's center and its rotational motion.
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