Q1. The image below shows an example of "absolute dependent motion analysis", where the motions of two objects depend on each other, and the goal is to find the relations in their motions (i.e., in their positions, velocities, and accelerations). Please put the suggested steps of analysis in the correct order.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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**Title: Absolute Dependent Motion Analysis**

**Description:**

**Question 1:** The image below illustrates an example of "absolute dependent motion analysis," where the motions of two objects depend on each other. The objective is to determine the relationships in their motions (i.e., in their positions, velocities, and accelerations). Arrange the suggested steps of analysis in the correct order.

**Diagram Explanation:**

- The diagram shows a pulley system with two connected objects: Block A (blue) and Block B (green).
- Block A is moving upwards with a velocity \(v_A\).
- Block B is moving downwards with a velocity \(v_B\).

**Suggested Steps for Analysis:**

1. **Differentiate the entire equation with respect to time**, and extract the relation in velocities. Repeat for acceleration if needed.
  
2. **Set up a coordinate(s)** along the direction of motion from a fixed point (O) or a fixed datum line.
  
3. **Represent the positions of the objects respectively.** In some cases, intermediate objects need to be considered too, and their positions need to be represented as well.
  
4. **Recognize the constant length(s)** and find the depending geometric relations between the position variables.

These steps help in systematically analyzing the motion of interconnected objects, ensuring a comprehensive understanding of how their positions and velocities are interrelated.
Transcribed Image Text:**Title: Absolute Dependent Motion Analysis** **Description:** **Question 1:** The image below illustrates an example of "absolute dependent motion analysis," where the motions of two objects depend on each other. The objective is to determine the relationships in their motions (i.e., in their positions, velocities, and accelerations). Arrange the suggested steps of analysis in the correct order. **Diagram Explanation:** - The diagram shows a pulley system with two connected objects: Block A (blue) and Block B (green). - Block A is moving upwards with a velocity \(v_A\). - Block B is moving downwards with a velocity \(v_B\). **Suggested Steps for Analysis:** 1. **Differentiate the entire equation with respect to time**, and extract the relation in velocities. Repeat for acceleration if needed. 2. **Set up a coordinate(s)** along the direction of motion from a fixed point (O) or a fixed datum line. 3. **Represent the positions of the objects respectively.** In some cases, intermediate objects need to be considered too, and their positions need to be represented as well. 4. **Recognize the constant length(s)** and find the depending geometric relations between the position variables. These steps help in systematically analyzing the motion of interconnected objects, ensuring a comprehensive understanding of how their positions and velocities are interrelated.
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