INVESTIGATION OF THE OSCILATORY MOTION OF THE SIMPLE PENDULUM

While writing this essay, my prior aim was to investigate the factors affecting the oscilatory motian of the simple pendulum by specifying ifs extent with the research question; "How do the length of the pendulum, initial angular amplitude of the pendulum and mass of the pendulum bob affect the period of the oscilatory motian of the pendulum?". Therefore, the investigation is surveyed through three seperate experiments; Experiments A, B and C; which examined the three effects respectively. For each experiment, a pendulum is constructed by suspending a thread from the ceiling and attaching a mass hook with standard masses to it and the sinuodally varying acceleration of 20 oscilations are measured and recorded by Vernier Accelerometer. As for the results, predictedly, the period decreased dramatically when the length of the pendulum decreased. Yet, although the effects of the angle and mass aren't taken to consideration for the general formula of period, the period increased slightly as the initial angular amplitude increased and a be at is formed in the sinuodal function of the acceleration versus time when the mass of the bob is increased. Then, the theoretical periods of the oscilations are calculated and the experimental periods are compared with them. For each experiment, the experimental error is less than 5%, which indicated the accuracy of the data. OveralL, the investigation served for answering the further questions that are asked about the standard formulations about the simple pendulum. Yet, the investigation is limited with three effects which alsa affect the orbit of phase trajectory and distort the accuracv. Thus, a continuation can be made in order to relate the accuracy of the pendulum to the oscilatory motian by examining only the orbit of phase trajectory, as the pendulum undergoes an oscilatory motian that is closely related to the circular motion