Oscillations of a Pendulum Wrapping on Two Cylinders

Abstract

The study of simple pendulum has a long history. Thus, Leonardo da Vinci during the Renaissance made many drawings of the motion of pendulum, without ralizing its value for timekeeping. Beginning around 1602, Galileo Galilei was the first to study the properties of pendulum: isochronisms and found that the period of the pendulum is approximately independent of the amplitude or with the swing. Also found that the period is independent on the mass of the bob and proportional to the square root of the length of the pendulum.