Utilizing a Computer Algebra System (CAS), namely MathematicaR, the characteristics of a bifilar disk-shaped pendulum have been studied. By applying the Lagrangian methodology, the disk’s motion equation is formulated. This is conducive to an ODE, and its numeric solution co-insides with intuitive expectation. The period of the oscillations and tension in the strings are calculated and graphed.
References
[1]
Lennon, J. (1980) Torsional Pendulum. https://www.physics.louisville.edu/cldavis/phys298/notes/torpend.html
[2]
Bauer, W. and Westfall, G. (2011) University Physics with Modern Physics. McGraw Hill.
[3]
Haillday, D., Resnick, R. and Walker, J. (2013) Fundamental of Physics Extended. 12th Edition, Wiley.
Gantmacher, F. (1970) Lectures in Analytic Mechanics. MIR Publishers Moscow.
[6]
Sokolnikoff, R. (1966) Mathematics of Physics and Modern Engineering. 2nd Edition, McGraw-Hill Books Company.
[7]
Si, Y.-Z., Gao, Y.-D. and Wang, H.-M. (2013) Analysis of Dynamic Characteristics of Asymmetric Bifilar Pendulum Absorber. Nanjing University of Aeronautics & Astronautics.
