(Solved): Question 8 A pendulum is a solid object attached to a string or rod which is attached to a fixed pin ...

Question 8 A pendulum is a solid object attached to a string or rod which is attached to a fixed pin. One example is the simple pendulum below with a ball connected to a string with the other end of the string connected to the ceiling. When the ball is pulled to the side and let go it will swing back and forth with a repetition time called the period,

. Observations show that the period of this pendulum depends only on the length of the string,

and the acceleration due to gravity,

. From dimensional analysis, how does the period depend on

and

? If the period of the pendulum is initially 2.00 seconds, then over times the string stretches a little bit. It is observed many days later that the period of the pendulum has increased to

. By what fraction of the original length the string stretch? A.

B.

C.

D.

E.