In 1581, when Galileo was 17 years old, he noticed one morning at the Cathedral in Pisa (just next door to the leaning tower) that after the chandeliers were lit several of them oscillated back and forth with different amplitudes. By comparing the period of oscillation with his pulse, he noticed that the period was the same regardless of the amplitude.
(a) Suppose Galileo noticed that the period of oscillation was 13 seconds. How long was the rope supporting the chandelier assume the chandelier is a point mass)?
m
(b) Suppose one of the chandeliers had a mass which was twice the one from part (a), but has exactly the same length of rope. How long is the period of oscillation for the more massive pendulum?
s