A bullet with mass of 25 grams traveling at speed of 185m/s hits the end of a rod as shown. The rod has a mass of 3 kg and a length of 80 cm, and it is free to spin about a perpendicular axis located at its center. If the bullet remains stuck in the end of the rod, what will be the angular speed of the rod after the bullet hits it? Let MM be the mass of the rod and mm be the mass of the bullet. The moment of inertia of a rod rotating about a perpendicular axis through its center is (1/12)ML2.(1/12)ML2. (Hint: After the bullet is embedded in the rod, it contributes m(L/2)2m(L/2)2to the moment of inertia of the rod.)
A bullet with mass of 25 grams traveling at speed of 185m/s hits the end of a rod as shown. The rod has a mass of 3 kg and a length of 80 cm, and it is free to spin about a perpendicular axis located at its center. If the bullet remains stuck in the end of the rod, what will be the angular speed of the rod after the bullet hits it? Let MM be the mass of the rod and mm be the mass of the bullet. The moment of inertia of a rod rotating about a perpendicular axis through its center is (1/12)ML2.(1/12)ML2. (Hint: After the bullet is embedded in the rod, it contributes m(L/2)2m(L/2)2to the moment of inertia of the rod.)
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A bullet with mass of 25 grams traveling at speed of 185m/s hits the end of a rod as shown. The rod has a mass of 3 kg and a length of 80 cm, and it is free to spin about a perpendicular axis located at its center. If the bullet remains stuck in the end of the rod, what will be the angular speed of the rod after the bullet hits it? Let MM be the mass of the rod and mm be the mass of the bullet. The moment of inertia of a rod rotating about a perpendicular axis through its center is (1/12)ML2.(1/12)ML2. (Hint: After the bullet is embedded in the rod, it contributes m(L/2)2m(L/2)2to the moment of inertia of the rod.)
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