Four small disks A, B, C, and D can slide freely on a frictionless horizontal surface. Disks B, C, and D are connected by light rods and are at rest in the position shown when disk B is struck squarely by disk A, which is moving to the right with a velocity v 0 = ( 38.5 ft/s ) i . The weights of the disks are W A = W B = W C = 15 Ib and W D = 30 Ib . Knowing that the velocities of the disks immediately after the impact are v A = v B = ( 8.25 ft/s ) i, v C = v C i and v D = v D i , determine (a) the speeds v C and v D , ( b ) the fraction of the initial kinetic energy of the system which is dissipated during the collision.
Four small disks A, B, C, and D can slide freely on a frictionless horizontal surface. Disks B, C, and D are connected by light rods and are at rest in the position shown when disk B is struck squarely by disk A, which is moving to the right with a velocity v 0 = ( 38.5 ft/s ) i . The weights of the disks are W A = W B = W C = 15 Ib and W D = 30 Ib . Knowing that the velocities of the disks immediately after the impact are v A = v B = ( 8.25 ft/s ) i, v C = v C i and v D = v D i , determine (a) the speeds v C and v D , ( b ) the fraction of the initial kinetic energy of the system which is dissipated during the collision.
Solution Summary: The author calculates the speed of v_C, and the corresponding value for the moment about D.
Four small disks A, B, C, and D can slide freely on a frictionless horizontal surface. Disks B, C, and D are connected by light rods and are at rest in the position shown when disk B is struck squarely by disk A, which is moving to the right with a velocity
v
0
=
(
38.5
ft/s
)
i
. The weights of the disks are
W
A
=
W
B
=
W
C
=
15
Ib
and
W
D
=
30
Ib
. Knowing that the velocities of the disks immediately after the impact are
v
A
=
v
B
=
(
8.25
ft/s
)
i,
v
C
=
v
C
i
and
v
D
=
v
D
i
, determine (a) the speeds
v
C
and
v
D
, (b) the fraction of the initial kinetic energy of the system which is dissipated during the collision.
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