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Unformatted text preview: elastic and after the collision the masses move with equal and opposite velocities. 3. (10 points) A uniform sphere of mass M and radius R and a uniform cylinder of mass M and radius R are released simultaneously from rest at the top of the inclined plane. Which body reaches the bottom ﬁrst, if they both roll without slipping? 4. (10 points) A ring of mass M and radius R lies on its side on a frictionless table. It is pivoted to the table at its rim. A bug of mass m walks around the ring with speed v , starting at the pivot. Assuming the ring is initially at rest, what is the rotational velocity of the ring when the bug is (a) halfway around and (b) back at the pivot point?...
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 Fall '09
 GRIGORIEV
 mechanics, Mass, uniform cylinder, solid uniform cylinder

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