Suppose that a long cylinder of radius a is exactly half submerged in water, as shown in Fig. P4.7. The cylinder density is ρ_o, the water density is ρ, and the air density is negligible.

(a) Verify Archimedes’ law for this case by directly calculating F_Py using Eq. (4.3-1).

(b) If the surface-tension force is negligible, what must be the value of ρ_o/ρ?

Transcribed Image Text:

Po Figure P4.7 Half-submerged cylinder. CTS a Air P= Po X Water P