A disk of radius $$\(1 \mathrm{~m}\)$$ and rotational inertia $$\(I=\)$$ $$\(0.5 \mathrm{~kg} \cdot \mathrm{m}^{2}\)$$ is free to rotate, but initially at rest. A blob of putty with mass $$\(0.1 \mathrm{~kg}\)$$ is traveling toward the disk with a speed of $$\(10 \mathrm{~m} / \mathrm{s}\)$$, as shown in the preceding figure. The putty collides with the outermost portion of the disk and sticks to the disk. What is the angular momentum of the combined disk-putty system after the collision?

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