Corpus ID: 113406113

Finding the period of a simple pendulum

@article{GraberMitchell2018FindingTP,
  title={Finding the period of a simple pendulum},
  author={Nicolas Graber-Mitchell},
  journal={arXiv: Classical Physics},
  year={2018}
}
Pendulums have long fascinated humans ever since Galileo theorized that they are isochronic with regards to their swing. While this simplification is useful in the case of small-angle pendulums due to the accuracy of the small-angle approximation, it breaks down for large-angle pendulums and can cause larger problems with the computational modelling of simple pendulums. This paper will examine the differences between the periods of small-angle and large-angle pendulums, offering derivations of… Expand

Figures and Tables from this paper

References

SHOWING 1-10 OF 12 REFERENCES
Exact solution for the nonlinear pendulum
This paper deals with the nonlinear oscillation of a simple pendulum and presents not only the exact formula for the period but also the exact expression of the angular displacement as a function ofExpand
Jacobi elliptic functions and the complete solution to the bead on the hoop problem
Jacobi elliptic functions are flexible functions that appear in a variety of problems in physics and engineering. We introduce and describe important features of these functions and present aExpand
Applications of Elliptic Functions in Classical and Algebraic Geometry
It strikes me that mathematical writing is similar to using a language. To be understood you have to follow some grammatical rules. However, in our case, nobody has taken the trouble of writing downExpand
Why Ellipses Are Not Elliptic Curves
Summary Elliptic curves are a fascinating area of algebraic geometry with important connections to number theory, topology, and complex analysis. As their current ubiquity in mathematics suggests,Expand
Calculus: Concepts and Contexts
Stewart's CALCULUS: CONCEPTS AND CONTEXTS, 3rd Edition focuses on major concepts and supports them with precise definitions, patient explanations, and carefully graded problems. Margin notes clarifyExpand
Second Order Linear Differential Equations 2016. <http://www.math.psu.edu/tseng/ class/Math251/Notes-2nd%20order%20ODE%20pt1.pdf>
  • 2016
Concepts and Contexts
Math 31A Discussion Session 2016. <http://www.math.ucla.edu/ ̃archristian/ teaching/31a-w16/week-2.pdf>
  • 2016
Acoustics and Vibration Animations.
...
1
2
...