The purpose of this lab was to illustrate the validity of the law of conservation of energy along with the determination of the spring constant of a given spring. For the first part the spring constantk was to be found from a given spring. Through the suspension of various known metal masses on a vertically suspended spring, the spring constant was determined. Two methods were used: the algebraic rearrangement of Hooke's Law and a slope analysis of a linear regression on a Force (N) against Stretch Length (m) scatter plot. The spring constant k was determined to be 26.438 ± 1.063. For the second part of the lab, the aim was to validate the law of conservation of energy through the oscillation of a vertically suspended spring. Data was collected using a Vernier Motion Detector 2 machine and the various energies (kinetic energy, gravitational potential energy and spring potential energy) were collected and summed up. The sum of these energies yielded a fairly constant energy total (2.287 J ± 0.025 J) which supports the authenticity of the law of conservation of energy. While there were some uncertainties due to the lab setup, human error and equipment error it did not affect the validity of the methods during experimentation. Overall, the spring constant k of a given spring was determined and the law of conservation of energy was validated through the calculation of total energy during a suspended mass' oscillation.
This a relatively simple yet effective Thesis/Report template suitable for LaTeX beginners. It is based of the best parts of the structures I have used for my Bachelor and Master Thesis and several reports in my engineering education at Linköping University. It is built of the standard LaTeX report class and contains my favorite packages as well as some useful user defined commands. The template default language is Swedish, but it can easily be changed. The template is fairly well commented on how to use it and the comments are in English.
The file "main.tex" contains the structure of the template. All packages used and their related settings can be found in the file "setup.sty". The file "commands.sty" contains all the user defined commands that I use a lot. Here you can also add your own commands.
References are handled by the biblatex package (https://ctan.org/pkg/biblatex) and the default style is set to (author, year). The file "help_LaTeX.tex" contains a quick crash course and useful code examples on cross referencing, citing references, inserting tables & figures and mathematics.
I hope this template can be helpful for your future thesis and reports.
Bruk denne malen til å bli bedre kjent med noen av funksjonene tilgjengelig i LaTeX og tilpass den deretter slik du selv ønsker!
Use this template to learn more about the features available in LaTeX and further customize it to your own preferences!
- IMT NTNU