A thin uniform rod of length L=0.7 m and mass M=1.2 kg can rotate

QUESTION

A thin uniform rod of length L=0.7 m and mass M=1.2 kg can rotate without friction in ahorizontal plane about a vertical axis through its center. The rod is initially at rest when abullet with mass m=0.0025 kg travelling in the horizontal plane strikes the rod at one end.Viewed from above the velocity of the bullet at impact makes an angle β=60o with the rodas shown in Fig. 4. After impact the bullet remains embedded in one end of the rod, andthe rod rotates with angular velocity ω=12 rad/s.a) Calculate the angular momentum of the rotating rod/bullet system after the collision.(5 points)b) Use conservation of angular momentum to determine the speed of the bullet justbefore impact. (7 points)

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