1) Curve fitting Data from an experiment to estimate a spring constant k. The mass measured in grams is added to the spring and the displacement is measured in mm. k=m*g/8 m(g) 8(mm) 15.5 5.00 F=k* 8 10.00 33.07 20.00 53.39 50.00 100.00 140.24 301.03 Fit a straight line to the data and determine the Spring Constant “k”.
1) Curve fitting Data from an experiment to estimate a spring constant k. The mass measured in grams is added to the spring and the displacement is measured in mm. k=m*g/8 m(g) 8(mm) 15.5 5.00 F=k* 8 10.00 33.07 20.00 53.39 50.00 100.00 140.24 301.03 Fit a straight line to the data and determine the Spring Constant “k”.
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
Related questions
Question
In matlab code
![### Curve Fitting
**Objective:**
This experiment is designed to estimate a spring constant, denoted as \( k \).
**Method:**
A mass, measured in grams, is added to a spring, and the resulting displacement is measured in millimeters (mm).
**Formulas:**
- The force \( F \) applied to the spring is given by the formula:
\[
F = k \times \delta
\]
- Solving for the spring constant \( k \), we have:
\[
k = \frac{m \times g}{\delta}
\]
**Data Table:**
| Mass \( m \) (g) | Displacement \( \delta \) (mm) |
|------------------|-------------------------------|
| 5.00 | 15.5 |
| 10.00 | 33.07 |
| 20.00 | 53.39 |
| 50.00 | 140.24 |
| 100.00 | 301.03 |
**Instructions:**
- Fit a straight line to this data.
- Determine the spring constant \( k \) from the slope of this line.
### Explanation:
The data provided consist of different masses applied to a spring and corresponding displacements measured. The goal is to fit these data points with a linear model to find the spring constant, which describes the stiffness of the spring. The relationship between the force applied and displacement allows determination of \( k \) as per Hooke's law, using the linear trend observed from the data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd30ea730-ba6b-4d49-90df-80ffc6e77ea4%2Fe930f07d-b67e-4266-8ed0-d0208433947c%2Fyj15esk_processed.png&w=3840&q=75)
Transcribed Image Text:### Curve Fitting
**Objective:**
This experiment is designed to estimate a spring constant, denoted as \( k \).
**Method:**
A mass, measured in grams, is added to a spring, and the resulting displacement is measured in millimeters (mm).
**Formulas:**
- The force \( F \) applied to the spring is given by the formula:
\[
F = k \times \delta
\]
- Solving for the spring constant \( k \), we have:
\[
k = \frac{m \times g}{\delta}
\]
**Data Table:**
| Mass \( m \) (g) | Displacement \( \delta \) (mm) |
|------------------|-------------------------------|
| 5.00 | 15.5 |
| 10.00 | 33.07 |
| 20.00 | 53.39 |
| 50.00 | 140.24 |
| 100.00 | 301.03 |
**Instructions:**
- Fit a straight line to this data.
- Determine the spring constant \( k \) from the slope of this line.
### Explanation:
The data provided consist of different masses applied to a spring and corresponding displacements measured. The goal is to fit these data points with a linear model to find the spring constant, which describes the stiffness of the spring. The relationship between the force applied and displacement allows determination of \( k \) as per Hooke's law, using the linear trend observed from the data.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 5 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY