Floating Body In Calm Water
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Floating Body In Calm Water

(a) Consider figure 14.1. A body is immersed in water as shown in figure 14.1 (a). Briefly thereafter, it assumes the position shown in figure 14.1 (b). Why?

(b) Consider figure 14.2. Suppose that the body immersed in water is a homogeneous solid square wooden block with density = ρ.
Given that 21% of the density of seawater is 13.6 lb/ft3 and 79% of the density of seawater is 51.4 lb/ft3, which of the floating scenarios in figure 14.2 has:
(i) ρ greater than 79% of the density of seawater?
(ii) ρ less than 21% of the density of seawater?
(iii) ρ greater than 21% of density of seawater but less than 79% of the density of seawater?

The strings: S7P3A32 (force-push).

The math:
Pj Problem of Interest is of type force (force-push).

(a) When a body floats in calm water, it will always rotate so as to align its center of gravity and center of buoyancy (center of gravity of displaced fluid) vertically.

(bi) Figure 14.2 (c) has ρ > 51.4
(ii) Figure 14.2 (a) has ρ < 13.6
(iii) Figure 14.2 (b) has 13.6 < ρ > 51.4.

In general, a body floats if its density is less than the density of the fluid in which it is immersed.

Blessed are they that have not seen, and yet have believed. John 20:29