A uniform rod of length d is initially at rest on a flat, frictionless table. The rod is pivoted about a point a distance d/3 from one of its ends, and is free to rotate on the table about this pivot. A small glob of clay (mass m) starting at a distance r1 away from the pivot point moving with speed v, hits the rod after traveling a distance of r2 and sticks to it at the point of impact at a distance d/3 from the pivot, as shown at right. The rotational inertia of a rod about its center of mass is 112Md2
Note: The diagram at right shows a top view. Gravity points into the page.
Relative to the pivot, what is the initial angular momentum of the small disc before the collision? Use the sign convention indicated in the diagram.
Symbol m v d r1 r2 θ
You could enter m v d r_1 r_2 theta
If the mass of the rod has mass 4m what is the magnitude of the angular velocity of the rod+clay system after the collision?
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