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Beyond fluids, Archimedes principle has proven useful in geology when applied to solids on the earth s crust. Figure P1.26 depicts one such case where a lighter conical granite mountain "floats on" a denser basalt layer at the earth s surface. Note that the part of the cone below the surface is formally referred to as a frustum. Develop a steady-state force balance for this case in terms of the following parameters: basalt s density (pb), granite s density (pg), the cone s bottom radius (r), and the height above (h1) andbelow (h2) the earth s surface. |
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