A solid cylinder of mass M = 42 kg, %3D radius R = 0.17 m and uniform density is %3D pivoted on a frictionless axle coaxial with its symmetry axis. A particle of mass m = 2.2 kg and initial velocity vo = 12 m/s (perpendicular to the cylinder's axis) flies too close to the cylinder's edge, collides with the cylinder and sticks to it.Before the collision, the cylinder was not rotating. What is the magnitude of its angular velocity after the collision?
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- Two particles, each of mass 3.21 × 10-4 kg and speed 6.81 m/s, travel in opposite directions along parallel lines separated by 5.49 cm. (a) What is the magnitude L of the angular momentum of the two-particle system around a point midway between the two lines? (b) Is the value different for a different location of the point? If the direction of either particle is reversed, what are the answers for (c) part (a) and (d) part (b)? (a) Number 0.000120 Units kg-m^2/s (Ь) yes (c) Number Units kg-m^2/s (d) yesA solid, horizontal cylinder of mass 15.0 kg and radius 1.00 m rotates with an angular speed of 6.00 rad/s about a fixed vertical axis through its center. A 0.250-kg piece of putty is dropped vertically onto the cylinder at a point 0.900 m from the center of rotation and sticks to the cylinder. Determine the final angular speed of the system.A uniform thin rod of length 0.48 m and mass 3.5 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 3.2 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 9.00 rad/s immediately after the collision, what is the bullet's speed just before impact? Axis Number i Units
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