(Figure 1) counterclockwise direction and has a counterclockwise angular acceleration of 30 rad/s? . The disk rolls on the circular surface. Express your answer with the appropriate units. HẢ ? rad aBC =-3.33 Submit Previous Answers Request Answer

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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### Example Problem: Angular Motion of a Disk and Bar

**Problem Statement:**

At the instant shown, bar \( AB \) is rotating at 10 rad/s in the counterclockwise direction and has a counterclockwise angular acceleration of 30 rad/s². The disk rolls on the circular surface.

**Tasks:**

1. **Part B:**
   - Determine the magnitude of the angular acceleration of bar \( BC \). 

     Enter your answer in radians per second squared (rad/s²):

     \[
     \alpha_{BC} = -3.33 \text{ rad/s}^2
     \]

   - **Result:** Incorrect. Try Again; 5 attempts remaining.

2. **Part C:**
   - Determine the direction of the angular acceleration of the disk.
   - Options: 
     - Counterclockwise
     - Clockwise
   - **Answer:** Counterclockwise (Correct)

3. **Part D:**
   - Determine the magnitude of the angular acceleration of the disk.
   - Enter your answer with the appropriate units.

**Figure Description:**

- The figure illustrates a mechanical system with a bar \( AB \) of length 1 m, which is connected to another bar \( BC \) of length 3 m. The bar \( BC \) is attached to a disk of 3 m radius that rolls along a circular path. The diagram provides a side view of the assembly, showing the linkage and the disk in contact with the curve.

This application involves understanding the principles of angular motion, particularly how to evaluate angular acceleration in linked rotating systems. The problem is designed to enhance skills in kinematics and dynamics, especially in the context of rotational bodies.
Transcribed Image Text:### Example Problem: Angular Motion of a Disk and Bar **Problem Statement:** At the instant shown, bar \( AB \) is rotating at 10 rad/s in the counterclockwise direction and has a counterclockwise angular acceleration of 30 rad/s². The disk rolls on the circular surface. **Tasks:** 1. **Part B:** - Determine the magnitude of the angular acceleration of bar \( BC \). Enter your answer in radians per second squared (rad/s²): \[ \alpha_{BC} = -3.33 \text{ rad/s}^2 \] - **Result:** Incorrect. Try Again; 5 attempts remaining. 2. **Part C:** - Determine the direction of the angular acceleration of the disk. - Options: - Counterclockwise - Clockwise - **Answer:** Counterclockwise (Correct) 3. **Part D:** - Determine the magnitude of the angular acceleration of the disk. - Enter your answer with the appropriate units. **Figure Description:** - The figure illustrates a mechanical system with a bar \( AB \) of length 1 m, which is connected to another bar \( BC \) of length 3 m. The bar \( BC \) is attached to a disk of 3 m radius that rolls along a circular path. The diagram provides a side view of the assembly, showing the linkage and the disk in contact with the curve. This application involves understanding the principles of angular motion, particularly how to evaluate angular acceleration in linked rotating systems. The problem is designed to enhance skills in kinematics and dynamics, especially in the context of rotational bodies.
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