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mechanics

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A wad of sticky clay of massmand velocity vi is fired at a solid cylinder of massM and radius
R. The cylinder is initially at rest and is mounted on a fixed horizontal axle that runs through the
center of mass. The line of motion of the projectile is perpendicular to the axle and at a distance d,
less than R, from the center.
(a) What is the angular momentum of the system before the clay strikes the cylinder (give both
magnitude and direction)?
(b) Find the angular speed of the system immediately after the clay strikes and sticks to the surface
of the cylinder.
(c) What is the difference in the mechanical energy before and after the collision?

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