Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Can someone help me to solve the following question showing all work by hand and drawing in autoCAD. Thank you!
Transcribed Image Text:### Problem Description
**Objective:**
To find the instant center of zero velocity of bar AB and use it to calculate the angular velocity of bar AB and the velocity of roller B.
**Given:**
- Bar AB is shown in the diagram.
- Length of bar AB = 1.5 meters.
- Roller A moves with a velocity \( v_A = 3 \, \text{m/s} \).
- Angle \( \theta = 30^\circ \) between bar AB and the horizontal.
### Diagram Explanation
The diagram illustrates a bar AB connected to a roller A that moves horizontally. The bar makes a 30-degree angle with respect to the horizontal ground. Point B is in contact with a vertical surface.
1. **Bar AB**: A solid line indicating a rigid bar.
2. **Roller A**: A circle at the end of the bar indicating roller A, which moves horizontally to the right.
3. **Velocity \( v_A \)**: A vector shown at point A indicating a magnitude of 3 m/s directed horizontally.
4. **Angle \( \theta \)**: The bar forms a 30-degree angle with the horizontal.
### Task
- **Find the Instant Center**: Determine the point on the bar AB where its velocity is zero.
- **Calculate Angular Velocity**: Use the instant center to determine the angular motion of bar AB.
- **Determine Velocity of Roller B**: Use the angular velocity to find the velocity at point B, located at the top of the bar.
This exercise involves concepts from rigid body dynamics, focusing on relative motion and instant centers of rotation.
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