Abstract:
An undamped simple pendulum motion was studied for large-angle
oscillations. The motion was captured using video-capturing techniques, and
the trajectory of the pendulum bob was also determined. Using Tracker and
Kinovea Video Analysis software, the experimental time periods of
oscillations of a simple pendulum with various angular displacements were
determined. The analytic approximation formula for the solution to the
differential equation representing the oscillations of a simple pendulum at
large angles, which was previously reported, was used in this study to obtain
analytical solutions. A comparison between theoretical and experimental
values was carried out. The first three terms of the approximation formula for
the time period were used to determine theoretical values. The findings show
that both measures are statistically related, but this relationship is far from
ideal in theory. This study also shows that this approach is feasible and
interactive for analyzing the motion of a simple pendulum.
