Three small identical spheres A , B , and C , which can slide on a horizontal, frictionless surface, are attached to three strings of length l which are tied to a ring G . Initially the spheres rotate clockwise about the ring which moves along the x axis with a velocity v o . Suddenly the ring breaks and the three spheres move freely in the xy plane. Knowing that v A = ( 3.5 ft/s ) j , v c = ( 6.0 ft/s ) i , a = 16 in., and d = 9 ., determine ( a ) the initial velocity ring, ( b ) the length l of the strings, (c) the rate in rad/s at which the spheres were rotating about G .
Three small identical spheres A , B , and C , which can slide on a horizontal, frictionless surface, are attached to three strings of length l which are tied to a ring G . Initially the spheres rotate clockwise about the ring which moves along the x axis with a velocity v o . Suddenly the ring breaks and the three spheres move freely in the xy plane. Knowing that v A = ( 3.5 ft/s ) j , v c = ( 6.0 ft/s ) i , a = 16 in., and d = 9 ., determine ( a ) the initial velocity ring, ( b ) the length l of the strings, (c) the rate in rad/s at which the spheres were rotating about G .
Solution Summary: The author explains the initial velocity of ring and the expression for initial linear momentum.
Three small identical spheres A, B, and C, which can slide on a horizontal, frictionless surface, are attached to three strings of length l which are tied to a ring G. Initially the spheres rotate clockwise about the ring which moves along the x axis with a velocity vo. Suddenly the ring breaks and the three spheres move freely in the xy plane. Knowing that
v
A
=
(
3.5
ft/s
)
j
,
v
c
=
(
6.0
ft/s
)
i
,
a
=
16
in., and
d
=
9
., determine (a) the initial velocity ring, (b) the length l of the strings, (c) the rate in rad/s at which the spheres were rotating about G.
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