Auniform thin rod of length 0.33 m and mass 4.3 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 5.0 g bullet traveling in the rotation plane is fired into one end of the rod. As viewed from above, the bullet's path makes angle 0 = 60° with the rod. If the bullet lodges in the rod and the angular velocity of the rod is 8.00 rad/s immediately after the collislon, what is the bullet's speed just before impact? Axis Number i Units
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- A lawnmower blade has a length of 0.75 m and a mass of 1.5 kg. The blade rotates around its center at an angular velocity of 500 re. The end of the blade hits a 0.25 kg croquet ball (point mass), and the ball sticks to the blade. min Before the collision, the ball was stationary. After the collision, the ball will be moving at the same angular velocity as the blade at a distance of half of the blade length from the axis of rotation. Treat the blade as a rod rotating around its center. The final angular velocity of the lawnmower blade and croquet ball combo is rad SThe figure shows three uniform solid disks, each of mass 9.4 kg and radius 0.5 m rotating independently around a common axle. Two of the disks rotate in one direction at 5.3 rad/s while the other rotates in the opposite direction at 3.5 rad/s. Calculate the magnitude of the system's angular momentum about a point in the middle of the center disk. L = kg m²/s .A uniform thin rod of length 0.17 m and mass 4.5 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 4.4 g bullet traveling in the rotation plane is fired into one end of the rod. As viewed from above, the bullet's path makes angle 0 = 60° with the rod. If the bullet lodges in the rod and the angular velocity of the rod is 10.0 rad/s immediately after the collision, what is the bullet's speed just before impact? Number Units Axis e
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