Question

A simple pendulum consists of a point mass suspended by a weightless, rigid wire in a uniform gravitation field. Check all that apply. a.The period is independent of the length of the wire. b.The period is inversely proportional to the length of the wire. c.The period is proportional to the suspended mass. d.The period is inversely proportional to the suspended mass. e.The period is proportional to the length of the wire. f.The period is independent of the suspended mass.

Answer 1

Answer:

f.The period is independent of the suspended mass.

Explanation:

The period of a pendulum is given by

$T=2 \pi \sqrt{\frac{L}{g}}$

where

L is the length of the pendulum

g is the acceleration due to gravity

From the formula, we see that:

1) the period of the pendulum depends only on its length, L, and it is proportional to the square root of the length

2) the period does not depend neither on the mass of the pendulum, nor on its amplitude of oscillation

So, the only correct statements are

f.The period is independent of the suspended mass.

Note: statement "e.The period is proportional to the length of the wire" is also wrong, because the period is NOT proportional to the length of the wire, but it is proportional to the square root of it.