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# (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,

`T`

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

`l`

and the acceleration due to gravity,

`g`

. From dimensional analysis, how does the period depend on

`l`

and

`g`

? 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

`2.01s`

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

`0.5%`

B.

`1.0%`

C.

`0.25%`

D.

`0.125%`

E.

`2.0%`

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