Determine the unstretched length of the spring. The spring constant, k = 700 N/m B 30° 4 m A 600 N

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Determine the Unstretched Length of the Spring**

In this problem, we are asked to find the unstretched length of a spring. The spring constant is given as \( k = 700 \, \text{N/m} \).

**Diagram Explanation:**

- The diagram depicts a spring connected at point C and point A, where the spring is initially stretched to a length of 4 meters.
  
- There is a force applied at point A, a junction where two other arms are connected. One arm extends to point B, forming a 30° angle with the horizontal.
  
- A force of 600 N is applied at point A, directed downwards and to the right at an angle based on the 3-4-5 triangle notation indicated, meaning a slope where the rise is 3 and the run is 4.

The task involves using these given details to calculate the original, unstretched length of the spring, considering how the forces and angles play a role in the spring's extension.
Transcribed Image Text:**Determine the Unstretched Length of the Spring** In this problem, we are asked to find the unstretched length of a spring. The spring constant is given as \( k = 700 \, \text{N/m} \). **Diagram Explanation:** - The diagram depicts a spring connected at point C and point A, where the spring is initially stretched to a length of 4 meters. - There is a force applied at point A, a junction where two other arms are connected. One arm extends to point B, forming a 30° angle with the horizontal. - A force of 600 N is applied at point A, directed downwards and to the right at an angle based on the 3-4-5 triangle notation indicated, meaning a slope where the rise is 3 and the run is 4. The task involves using these given details to calculate the original, unstretched length of the spring, considering how the forces and angles play a role in the spring's extension.
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