s part of a carnival game, a mp = 0.578 kg ball is thrown at a stack of 17.3 cm tall, m, = 0.343 kg objects and hits with a erfectly horizontal velocity of voi = 11.8 m/s. Suppose that the ball strikes the topmost object. Immediately after the collis e ball has a horizontal velocity of vb.f = 3.85 m/s in the same direction, the topmost object has an angular velocity of - = 2.43 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating a at the effect of the torque due to gravity during the collision is negligible. the object's center of mass is located r = 12.1 cm below the point where the ball hits, what is the moment of inertia I, of ti pject about its center of mass? 0.228 I, = kg r

Principles of Physics: A Calculus-Based Text
5th Edition
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Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
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As part of a carnival game, a mp
0.578 kg ball is thrown at a stack of 17.3 cm tall,
0.343 kg objects and hits with a
= 11.8 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision,
m.
perfectly horizontal velocity of vp.i
the ball has a horizontal velocity of Ub.f = 3.85 m/s in the same direction, the topmost object has an angular velocity of
@. = 2.43 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 = 12.1 cm below the point where the ball hits, what is the moment of inertia I, of the
object about its center of mass?
b,i
I, =
0.228
kg-m2
Transcribed Image Text:As part of a carnival game, a mp 0.578 kg ball is thrown at a stack of 17.3 cm tall, 0.343 kg objects and hits with a = 11.8 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, m. perfectly horizontal velocity of vp.i the ball has a horizontal velocity of Ub.f = 3.85 m/s in the same direction, the topmost object has an angular velocity of @. = 2.43 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 = 12.1 cm below the point where the ball hits, what is the moment of inertia I, of the object about its center of mass? b,i I, = 0.228 kg-m2
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