Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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![**Problem Statement:**
Q10. A 3.9-kg collar travels down a smooth slope as shown. The spring has an unstretched length of 8 m and a spring constant \( k = 29 \, \text{N/m} \), and it is always horizontal. Determine the work done by the spring force to the collar during the process when it moves from \( s_1 = 15 \, \text{m} \) to \( s_2 = 9 \, \text{m} \). Please pay attention: the numbers may change since they are randomized. A negative sign must be included if the work done is negative. Your answer must include 1 place after the decimal point and proper SI unit.
**Diagram Explanation:**
The diagram shows a collar attached to a spring, set on a smooth curve. The curve is defined by the equation \( y = \frac{1}{4}x^{\frac{3}{2}} \). The horizontal displacement \( s_1 \) and \( s_2 \) are marked, indicating the collar's position at the beginning and end of its movement along the curve.
- **\( s_1 \)**: Initial position of the collar at 15 m from the fixed spring endpoint.
- **\( s_2 \)**: Final position of the collar at 9 m from the fixed spring endpoint.
Ensure that your calculations account for changes in potential energy in the system and the work done by spring force using the spring formula. Input your answer with the appropriate unit and precision as specified.
**Your Answer:**
[Input Box for Numerical Value] [Input Box for Unit]
Make sure the inputted work value is correctly calculated and expressed in joules (J).](https://content.bartleby.com/qna-images/question/be9fc978-70cb-4c00-8bb5-ab01a2cd8480/2415786d-4a1f-4042-8082-934fd4245ff7/tj6e7ye_processed.jpeg)
Transcribed Image Text:**Problem Statement:**
Q10. A 3.9-kg collar travels down a smooth slope as shown. The spring has an unstretched length of 8 m and a spring constant \( k = 29 \, \text{N/m} \), and it is always horizontal. Determine the work done by the spring force to the collar during the process when it moves from \( s_1 = 15 \, \text{m} \) to \( s_2 = 9 \, \text{m} \). Please pay attention: the numbers may change since they are randomized. A negative sign must be included if the work done is negative. Your answer must include 1 place after the decimal point and proper SI unit.
**Diagram Explanation:**
The diagram shows a collar attached to a spring, set on a smooth curve. The curve is defined by the equation \( y = \frac{1}{4}x^{\frac{3}{2}} \). The horizontal displacement \( s_1 \) and \( s_2 \) are marked, indicating the collar's position at the beginning and end of its movement along the curve.
- **\( s_1 \)**: Initial position of the collar at 15 m from the fixed spring endpoint.
- **\( s_2 \)**: Final position of the collar at 9 m from the fixed spring endpoint.
Ensure that your calculations account for changes in potential energy in the system and the work done by spring force using the spring formula. Input your answer with the appropriate unit and precision as specified.
**Your Answer:**
[Input Box for Numerical Value] [Input Box for Unit]
Make sure the inputted work value is correctly calculated and expressed in joules (J).
Expert Solution
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Step 1
Given-
m = 3.9 kg
l = 8 m
k = 29 N/m
S1 = 15 m
S2 = 9m
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