Three small identical spheres A , B , and C , which can slide on a horizontal, frictionless surface, are attached to three 9-on.-long strings, which are tied to a ring G . Initially the spheres rotate clockwise about the ring with a relative velocity of 2.6 ft/s and the ring moves along the x axis with a velocity v 0 = ( 1.3 ft/s ) i . Suddenly the ring breaks and the three spheres move freely in the xy plane with A and B following paths parallel to the y axis at a distance a = 1.0 ft from each other and C following a path parallel to the x axis. Determine ( a ) the velocity of each sphere, ( b ) the distance d .
Three small identical spheres A , B , and C , which can slide on a horizontal, frictionless surface, are attached to three 9-on.-long strings, which are tied to a ring G . Initially the spheres rotate clockwise about the ring with a relative velocity of 2.6 ft/s and the ring moves along the x axis with a velocity v 0 = ( 1.3 ft/s ) i . Suddenly the ring breaks and the three spheres move freely in the xy plane with A and B following paths parallel to the y axis at a distance a = 1.0 ft from each other and C following a path parallel to the x axis. Determine ( a ) the velocity of each sphere, ( b ) the distance d .
Solution Summary: The author explains the velocity of each sphere, the initial linear momentum of ring, and the final liner momentum.
Three small identical spheres A, B, and C, which can slide on a horizontal, frictionless surface, are attached to three 9-on.-long strings, which are tied to a ring G. Initially the spheres rotate clockwise about the ring with a relative velocity of 2.6 ft/s and the ring moves along the x axis with a velocity
v
0
=
(
1.3
ft/s
)
i
. Suddenly the ring breaks and the three spheres move freely in the xy plane with A and B following paths parallel to the y axis at a distance
a
=
1.0
ft from each other and C following a path parallel to the x axis. Determine (a) the velocity of each sphere, (b) the distance d.
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