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A small blob of putty of mass m moves horizontally at speed vo along the path shown at left. A large, solid, uniform cylindrical drum, of moment of inertia Ip and radius R, is initially at rest but can rotate without friction about a fixed axis through its center. The putty blob strikes the drum and sticks to it, and they rotate together as shown at right. 2. Wf vo R b before after Consider m, In, R, vo and b to be given. Express your answers as formulas in terms of these givens. a. Determine the angular momentum L; of the blob-drum system just before the collision. b. Determine the angular momentum Lf of the blob-drum system just after the collision. С. Determine the moment of inertia IR of the blob about the drum's center, after it sticks. d. Determine the final angular speed wr of the drum, with the blob still attached. e. Determine the final linear speed vr of the blob.

A small blob of putty of mass m moves horizontally at speed vo along the path shown at left. A large, solid, uniform cylindrical drum, of moment of inertia Ip and radius R, is initially at rest but can rotate without friction about a fixed axis through its center. The putty blob strikes the drum and sticks to it, and they rotate together as shown at right. 2. Wf vo R b before after Consider m, In, R, vo and b to be given. Express your answers as formulas in terms of these givens. a. Determine the angular momentum L; of the blob-drum system just before the collision. b. Determine the angular momentum Lf of the blob-drum system just after the collision. С. Determine the moment of inertia IR of the blob about the drum's center, after it sticks. d. Determine the final angular speed wr of the drum, with the blob still attached. e. Determine the final linear speed vr of the blob.

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A small blob of putty of mass m moves horizontally at speed vo along the path shown at left. A large, solid, uniform cylindrical drum, of moment of inertia Ip and radius R, is initially at rest but can rotate without friction about a fixed axis through its center. The putty blob strikes the drum and sticks to it, and they rotate together as shown at right. 2. Wf vo R b before after Consider m, In, R, vo and b to be given. Express your answers as formulas in terms of these givens. a. Determine the angular momentum L; of the blob-drum system just before the collision. b. Determine the angular momentum Lf of the blob-drum system just after the collision. С. Determine the moment of inertia IR of the blob about the drum's center, after it sticks. d. Determine the final angular speed wr of the drum, with the blob still attached. e. Determine the final linear speed vr of the blob.
Transcribed Image Text:A small blob of putty of mass m moves horizontally at speed vo along the path shown at left. A large, solid, uniform cylindrical drum, of moment of inertia Ip and radius R, is initially at rest but can rotate without friction about a fixed axis through its center. The putty blob strikes the drum and sticks to it, and they rotate together as shown at right. 2. Wf vo R b before after Consider m, In, R, vo and b to be given. Express your answers as formulas in terms of these givens. a. Determine the angular momentum L; of the blob-drum system just before the collision. b. Determine the angular momentum Lf of the blob-drum system just after the collision. С. Determine the moment of inertia IR of the blob about the drum's center, after it sticks. d. Determine the final angular speed wr of the drum, with the blob still attached. e. Determine the final linear speed vr of the blob.
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