- #1
Perpendicular
- 49
- 0
Hi, I am trying to work with the problem of keeping a solid body at equilibrium over an orifice.
To see what I mean ( not necessarily a sphere could be a cube or something like that as well ) please look at the image I have attached.
I am trying to work with the sphere case first and then move on to the case of cube and cylinder. In case of cylinder I am going to be working with the variables and solving for the fraction of the height I can keep outside. Also outside pressure is assumed to be atmospheric pressure and viscosity negligible. The rectangles at the bottom represent container walls.
I am not sure how to progress here, however. Does the problem even have a solution at all ? My basic issue lies with the part of the sphere outside the vessel as the part inside experiences an easily calculable force of buoyancy. However I am not sure how to progress after this. Have I taken too few variables and made the problem unsolvable by any chance ? Would it help me to examine some other geometric figure first as a learning precedent ?
To see what I mean ( not necessarily a sphere could be a cube or something like that as well ) please look at the image I have attached.
I am trying to work with the sphere case first and then move on to the case of cube and cylinder. In case of cylinder I am going to be working with the variables and solving for the fraction of the height I can keep outside. Also outside pressure is assumed to be atmospheric pressure and viscosity negligible. The rectangles at the bottom represent container walls.
I am not sure how to progress here, however. Does the problem even have a solution at all ? My basic issue lies with the part of the sphere outside the vessel as the part inside experiences an easily calculable force of buoyancy. However I am not sure how to progress after this. Have I taken too few variables and made the problem unsolvable by any chance ? Would it help me to examine some other geometric figure first as a learning precedent ?
