(^202) Aptitude Test Problems in Physics
voir, and some part of the chain lies at the bottom,
while the other part hangs vertically between the
bottom and the sphere (Fig. 193). By hypothesis,
we can state that the sphere is completely sub-
merged in water (otherwise, nearly the whole chain
would hang, which is impossible in view of the
Fig. 193.
large density of iron). Then the height h can be
obtained from the eavalitv„ of the total force of
gravity of the sphere and the hanging part of the
chain and the buoyant force acting on them:
( m+ m h—D/2 w^
in h—D/21
(^1) ()iron 1 ) g.
Hence
h=
D pwV—M
2 m (1 —Pw /Piron)
1=-- 1.6 m.
The depth at which the sphere floats is if — h =
1.4 m.
1.106. The equilibrium condition for the lever is
the equality of the moments of forces (Fig. 194).
In air, these forces are the forces of gravity mi g
and ma of the bodies. Since they are different,
their arms ll and 1 3 are also different since
nsigli = nt2g12.
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