Question #d9e02
1 Answer
See below.
Explanation:
In the answer below, I have assumed the question refers to simple harmonic motion:
For simple harmonic motion, we have the formulas:
and
where
By combining the two equations and solving for
Since the only values we care about in this problem are
Now we can substitute
If
this is our value to which we will compare quartering and quadrupling the mass to
If
which is a frequency
if
which is a frequency
Therefore, when we take one-fourth of the mass, we have a frequency