The objective of this project is to derive and solve the equation of motion for a pendulum swinging at small angles in one dimension. The pendulum may be either a simple pendulum like a ball hanging from a string or a physical pendulum like a pendulum on a clock. For simplicity, we only considered small rotational angles so that the equation of motion becomes a harmonic oscillator.
This article was previously called Article 21.
"Motion of a Pendulum,"
Undergraduate Journal of Mathematical Modeling: One + Two:
1, Article 9.
DOI: http://dx.doi.org/10.5038/2326-3622.214.171.124 Available at: http://scholarcommons.usf.edu/ujmm/vol3/iss1/21
Arcadii Grinshpan, Mathematics and Statistics
Dennis Killinger, Physics