How should the mass of a harmonic oscillator be changed to double the frequency? Can the frequency be tripled by a suitable adjustment of the mass?

a.

b.

Explanation:

The frequency of a harmonic oscillator is given by the following formula:

  ----------------- equation (1)

a.

In order to double the frequency of this oscillator:

ω' = 2ω

m' = ?

Therefore,

using equation (1):

a.

In order to triple the frequency of this oscillator:

ω' = 3ω

m' = ?

Therefore,

using equation (1):

unlike poles attract

do you have a formula possibly