As part of a carnival game, a my = = 0.653 kg ball is thrown at a stack of 23.8 cm tall, m, = 0.363 kg objects and hits with a perfectly horizontal velocity of ubi = 10.8 m/s. Suppose that the ball strikes the topmost object. Immediately after the collisio the ball has a horizontal velocity of Ubf = 3.10 m/s in the same direction, the topmost object has an angular velocity of @o = 1.63 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating and that the effect of the torque due to gravity during the collision is negligible. If the object's center of mass is located r = 16.7 cm below the point where the ball hits, what is the moment of inertia I, of the object about its center of mass?

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As part of a carnival game, a my = 0.653 kg ball is thrown at a stack of 23.8 cm tall, mo = = 0.363 kg objects and hits with a
perfectly horizontal velocity of Ubi = 10.8 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision,
the ball has a horizontal velocity of bf = 3.10 m/s in the same direction, the topmost object has an angular velocity of
@= 1.63 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating and
that the effect of the torque due to gravity during the collision is negligible.
If the object's center of mass is located r = 16.7 cm below the point where the ball hits, what is the moment of inertia I, of the
object about its center of mass?
What is the center of mass velocity Uo.cm of the tall object immediately after it is struck?
(1)
0
Io =
b.J
Vo.cm =
kg-m²
m/s
Transcribed Image Text:As part of a carnival game, a my = 0.653 kg ball is thrown at a stack of 23.8 cm tall, mo = = 0.363 kg objects and hits with a perfectly horizontal velocity of Ubi = 10.8 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of bf = 3.10 m/s in the same direction, the topmost object has an angular velocity of @= 1.63 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating and that the effect of the torque due to gravity during the collision is negligible. If the object's center of mass is located r = 16.7 cm below the point where the ball hits, what is the moment of inertia I, of the object about its center of mass? What is the center of mass velocity Uo.cm of the tall object immediately after it is struck? (1) 0 Io = b.J Vo.cm = kg-m² m/s
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