plz help with oscillation problem...

[Omegachi]

An object on a horizontal spring oscillates with a period of 4.5s. If the object is suspended from the spring vertically, by how much is the spring stretched from its natural length when the object is in equailibrium?

 

[Omegachi]

bump~

 

[gopunk]

i'm just learning this stuff now (well, for the second time )... don't you need at least the spring constant or the mass though?

 

[Bobomatic]

ummmm..... 6.5 w/ a 2.8098 coefficient

 

[thEnEuRoMancER]

Well, let's see.

omega = (k/m)^(1/2)

where k is spring constant and m is mass

furthermore

omega = 2*pi*1/t0

where t0 is the period and pi=3.14...

The elongation of spring in equlibrium is

s = m*g/k = (m/k)*g

where g = 9.81

Combine the equations together to determine s. You don't need the actual values of k and m.

 

[gopunk]

<< ummmm..... 6.5 w/ a 2.8098 coefficient >>



wouldn't that be 18 something? can you show us how you did that?

 

[Bobomatic]

oh I forgot the

 

[gopunk]

Combine the equations together to determine s. You don't need the actual values of k and m.

ah i see... so 5.0268 m?

 

[thEnEuRoMancER]

Yup, it seems to be one huge pendulum.