Accession Number:

ADA574986

Title:

Reprise of a "Dense and Tense Story"

Descriptive Note:

Journal article

Corporate Author:

NAVAL ACADEMY ANNAPOLIS MD DEPT OF PHYSICS

Personal Author(s):

Report Date:

2004-05-01

Pagination or Media Count:

4.0

Abstract:

Consider the following problem. Two uniform cubes have sides of length L. Cube 1 has volume mass density p1, while cube 2 has density p2p1 Their average density, p p1 p22, is equal to that of an incompressible fluid filling a beaker. The two cubes are glued together and fully immersed in the fluid with the lighter cube 1 positioned directly above cube 2, such that the interface between them is at depth H. Suppose that the glue has a density equal to that of the fluid, so that the combination of blocks and glue is overall neutrally buoyant in the fluid. Denote by F the maximum tensile force that the glue can withstand before tearing apart. Under what conditions will the cubes break apart resulting in cube 1 rising to the surface and cube 2 sinking to the bottom

Subject Categories:

  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE