Mechanics (^45)
are connected by hinged joints and form a
rhomb (Fig. 48). A hinge A is fixed, and a
load is suspended to a hinge C. Hinges D
and B are connected by a weightless spring
of length 1.51 in the undeformed state. In
equilibrium, the rods form angles ao = 30°
with the vertical.
Determine the period T of small oscilla-
tions of the load.
Fig. 48
Fig. 49
1.97. A thin hoop is hinged at point A
so that at the initial moment its centre of
mass is almost above point A (Fig. 49).
Then the hoop is smoothly released, and in
a time i = 0.5 s, its centre of mass oc-
cupies the lowest position.
Determine the time t in which a pendu-
lum formed by a heavy ball B fixed on a
weightless rigid rod whose length is equal
to the radius of the hoop will return to the
lowest equilibrium position if initially the
ball was near the extreme upper position
(Fig. 50) and was released without pushing.
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