**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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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

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

Problem 1.1MA

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Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.

Question

**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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