1. The collar is given a speed VA = 5 m/s to the left at position A. What is its speed at B? The guide is smooth so that the collar is not subject to any friction. The unstretched length of the spring is R = 1.2 m and the spring constant is k = 500 N/m. B R R

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 Statement:**

1. The collar is given a speed \( v_A = 5 \, \text{m/s} \) to the left at position \( A \). What is its speed at \( B \)? The guide is smooth so that the collar is not subject to any friction. The unstretched length of the spring is \( R = 1.2 \, \text{m} \) and the spring constant is \( k = 500 \, \text{N/m} \).

**Diagram Explanation:**

The diagram illustrates a collar attached to a spring, which is itself connected to a fixed point. The collar is initially moving to the left from position \( A \) with an initial speed \( v_A \). The motion takes place on a smooth circular guide to point \( B \). The curvature of the path implies that the radius of the circular section of the guide is \( R = 1.2 \, \text{m} \).

- **Point A**: The initial position of the collar, where the speed \( v_A = 5 \, \text{m/s} \).
- **Point B**: The final position where the speed of the collar is to be determined.
- **Smooth Guide**: Indicates that there is no friction along the path.
- **Spring**: Has an unstretched length of \( R = 1.2 \, \text{m} \) and a spring constant \( k = 500 \, \text{N/m} \).

Tracks show both the straight initial path of the collar and the semi-circular guide, transitioning from \( A \) to \( B \). The spring force affects the collar’s speed due to the extension and compression during motion.
Transcribed Image Text:**Problem Statement:** 1. The collar is given a speed \( v_A = 5 \, \text{m/s} \) to the left at position \( A \). What is its speed at \( B \)? The guide is smooth so that the collar is not subject to any friction. The unstretched length of the spring is \( R = 1.2 \, \text{m} \) and the spring constant is \( k = 500 \, \text{N/m} \). **Diagram Explanation:** The diagram illustrates a collar attached to a spring, which is itself connected to a fixed point. The collar is initially moving to the left from position \( A \) with an initial speed \( v_A \). The motion takes place on a smooth circular guide to point \( B \). The curvature of the path implies that the radius of the circular section of the guide is \( R = 1.2 \, \text{m} \). - **Point A**: The initial position of the collar, where the speed \( v_A = 5 \, \text{m/s} \). - **Point B**: The final position where the speed of the collar is to be determined. - **Smooth Guide**: Indicates that there is no friction along the path. - **Spring**: Has an unstretched length of \( R = 1.2 \, \text{m} \) and a spring constant \( k = 500 \, \text{N/m} \). Tracks show both the straight initial path of the collar and the semi-circular guide, transitioning from \( A \) to \( B \). The spring force affects the collar’s speed due to the extension and compression during motion.
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