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):

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day

spare some change and give it to the poor

explanation:

plz : ((