A projectile of mass mp is traveling at a constant velocity v0 toward a stationary disk of

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A projectile of mass mp is traveling at a constant velocity v0 toward a stationary disk of mass M and radius R that is free to rotate about a pivot through its axis O (Figure). Before impact, the projectile is traveling along a line displaced a distance b below the axis. The projectile strikes the disk and sticks to point B. Treat the projectile as a point mass.

(a) Before impact, what is the total angular momentum L0 of the projectile and disk about the O axis?

(b) What is the angular speed w of the disk and projectile system just after the impact?

(c) What is the kinetic energy of the disk and projectile system after impact?

(d) How much mechanical energy is lost in thiscollision?

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