Question

A simple 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.

A. The period is inversely proportional to the suspended mass.
B. The period is proportional to the square root of the length of the wire.
C. The period is independent of the suspended mass.
D. The period is proportional to the suspended mass.
E. The period is independent of the length of the wire.
F. The period is inversely proportional to the length of the wire.

Answer 1

Answer:

- The period is independent of the suspended mass.

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

Explanation:

A simple 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.

A. The period is inversely proportional to the suspended mass.

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

C. The period is independent of the suspended mass.

D. The period is proportional to the suspended mass.

E. The period is independent of the length of the wire.

F. The period is inversely proportional to the length of the wire.

Simple harmonic motion is periodic motion under the action of a restoring force that is directly proportional to the displacement from equilibrium

from the relation of period T

$T=2\pi \sqrt{l/g}$

from the above formula , it can be concluded that

C. The period is independent of the suspended mass

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