Sloshing in a Rectangular Container: Finding Time Period

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
8 replies · 2K views
crotical
Messages
10
Reaction score
0

Homework Statement


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

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 doesn't lead me anywhere, can some one please tell what should i add in the energy equation .
 

Discussion

Physics news on Phys.org
welcome to pf!

hi crotical! welcome to pf! :wink:

what does mgh have to do with it?

surely the centre of mass isn't moving?​
 
Then what should i add to the Energy equation
 
So that means , no help ?
 
crotical said:
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.
…
θ be the angle made by surface and the slant made by surface after slosh ,
1/2 Iω2 + mgh = U

but this doesn't lead me anywhere, can some one please tell what should i add in the energy equation .

i think I've misunderstood the question :redface: …

what exactly is the water doing?​

show us your full equation anyway :smile:
 
Water is in a cup , find SHM of the surface , if slightly displaced
 
crotical?

your equation?​