As part of a carnival game, a ?b=0.528 kgmb=0.528 kg ball is thrown at a stack of 22.8 cm22.8 cm tall, ?o=0.403 kgmo=0.403 kg objects and hits with a perfectly horizontal velocity of ?b,i=11.1 m/s.vb,i=11.1 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of ?b,f=3.10 m/svb,f=3.10 m/s in the same direction, the topmost object has an angular velocity of ?o=4.03 rad/sωo=4.03 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 ?=16.0 cmr=16.0 cm below the point where the ball hits, what is the moment of inertia ?oIo of the object about its center of mass? ?o=Io= kg⋅m2kg⋅m2 What is the center of mass velocity ?o,cmvo,cm of the tall object immediately after it is struck?
As part of a carnival game, a ?b=0.528 kgmb=0.528 kg ball is thrown at a stack of 22.8 cm22.8 cm tall, ?o=0.403 kgmo=0.403 kg objects and hits with a perfectly horizontal velocity of ?b,i=11.1 m/s.vb,i=11.1 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of ?b,f=3.10 m/svb,f=3.10 m/s in the same direction, the topmost object has an angular velocity of ?o=4.03 rad/sωo=4.03 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 ?=16.0 cmr=16.0 cm below the point where the ball hits, what is the moment of inertia ?oIo of the object about its center of mass? ?o=Io= kg⋅m2kg⋅m2 What is the center of mass velocity ?o,cmvo,cm of the tall object immediately after it is struck?
As part of a carnival game, a ?b=0.528 kgmb=0.528 kg ball is thrown at a stack of 22.8 cm22.8 cm tall, ?o=0.403 kgmo=0.403 kg objects and hits with a perfectly horizontal velocity of ?b,i=11.1 m/s.vb,i=11.1 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of ?b,f=3.10 m/svb,f=3.10 m/s in the same direction, the topmost object has an angular velocity of ?o=4.03 rad/sωo=4.03 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 ?=16.0 cmr=16.0 cm below the point where the ball hits, what is the moment of inertia ?oIo of the object about its center of mass? ?o=Io= kg⋅m2kg⋅m2 What is the center of mass velocity ?o,cmvo,cm of the tall object immediately after it is struck?
As part of a carnival game, a ?b=0.528 kgmb=0.528 kg ball is thrown at a stack of 22.8 cm22.8 cm tall, ?o=0.403 kgmo=0.403 kg objects and hits with a perfectly horizontal velocity of ?b,i=11.1 m/s.vb,i=11.1 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of ?b,f=3.10 m/svb,f=3.10 m/s in the same direction, the topmost object has an angular velocity of ?o=4.03 rad/sωo=4.03 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 ?=16.0 cmr=16.0 cm below the point where the ball hits, what is the moment of inertia ?oIo of the object about its center of mass?
?o=Io=
kg⋅m2kg⋅m2
What is the center of mass velocity ?o,cmvo,cm of the tall object immediately after it is struck?
Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.
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