# Surface SHM

1. Feb 25, 2012

### crotical

1. The problem statement, all variables and given/known data
A rectangular container partly filled with water up to height , after being slightly disturbed , the urface of water begins to slosh . Assume that the water surface remains practically flast during sloshing , find the time period of the sloshing mode. take width to be

3. The attempt at a solution

I tried to put up the equation of energy , and differentiating it .

θ be the angle made by surface and the slant made by surface after slosh ,
1/2 Iω2 + mgh = U

but this doesnt lead me anywhere, can some one please tell what should i add in the energy equation .

2. Feb 25, 2012

### tiny-tim

welcome to pf!

hi crotical! welcome to pf!

what does mgh have to do with it?

surely the centre of mass isn't moving?​

3. Feb 25, 2012

### crotical

Then what should i add to the Energy equation

4. Feb 25, 2012

### tiny-tim

love

5. Feb 26, 2012

### crotical

So that means , no help ?

6. Feb 26, 2012

### tiny-tim

i think i've misunderstood the question

what exactly is the water doing?​

show us your full equation anyway

7. Feb 27, 2012

### crotical

Water is in a cup , find SHM of the surface , if slightly displaced

8. Feb 28, 2012

### crotical

Tiny ?

9. Feb 29, 2012

crotical?