Asimple pendulum consists of a point mass suspended by a weightless, rigid wire in a uniform gravitation field. which of the following statements are true when the system undergoes small oscillations? check all that apply.
the period is inversely proportional to the suspended mass. the period is proportional to the square root of the length of the wire. the period is independent of the suspended mass. the period is proportional to the suspended mass. the period is independent of the length of the wire. the period is inversely proportional to the length of the wire.

The period is proportional to the square root of the length of the wire.

The period is independent of the suspended mass.

Explanation:

The period of a simple pendulum, in the small oscillations approximation, is given by

where

L is the length of the pendulum

g is the acceleration due to gravity

From the formula, we notice that:

- the period does not depend on the mass

- the period is proportional to the square root of the length of the wire

Therefore, the correct statements are:

The period is proportional to the square root of the length of the wire.

The period is independent of the suspended mass.