Exploring the Oscillating Wave Problem: Finding Solutions for Vibrating Systems

[Fionn00]

I would appreciate help on this problem.

Homework Statement

Homework Equations

f = (1/2L)*sqrt(F/u)

The Attempt at a Solution

This is vibrating at its fundamental frequency so L = (wavelength/2). To find k I reckon I need to find the force on the band and this should equal -kx. But I don't have the length of the string or the mass density. Is there a formula I am missing or something or what ?

Edit; or possibly it has something to do with this y = 2 Asin(kx+ot)sin(wt+ot). o is phase angle.

Thanks!

 

[tiny-tim]

Hi Fionn00!

(have a square-root: √ )

… I don't have the length of the string or the mass density. Is there a formula I am missing or something or what ?

Don't forget you only need the "y" component of the force …

that sinθ should make all the difference ​

 

[Fionn00]

Don't forget you only need the "y" component of the force …

that sinθ should make all the difference ​

Thanks for replying.

The y coordinate is the force in this formula f=1/2l * √F/u is it not ?
If so I want the force along the elastic which is this force divided by sinθ and sinθ is 1/L and the L's don't cancel so I still can't work it out ?