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1.A uniform, 0.0300-kg rod of length 0.400 m rotates in a horizontal plane about a fixed axis through its center and perpendicular to the rod. Two small rings, each with mass 0.0200 kg, are mounted so that they can slide along the rod. They are initially held by catches at positions 0.0500 m on each side of the center of the rod, and the system is rotating at 30.0 rev/min. With no other changes in the system, the catches are released, and the rings slide outward along the rod and fly off at the ends.
(a) What is the angular speed of the system at the instant when the rings reach the ends of the rod?
(b) What is the angular speed of the rod after the rings leave it?
2.A uniform rod of length L rests on a frictionless horizontal surface. The rod pivots about a fixed frictionless axis at one end. The rod is initially at rest. A bullet traveling parallel to the horizontal surface and perpendicular to the rod with speed v strikes the rod at its center and becomes embedded in it. The mass of the bullet is one-fourth the mass of the rod.
(a) What is the final angular speed of the rod?
(b) What is the ratio of the kinetic energy of the system after the collision to the kinetic energy of the bullet before the collision?
3.How do you convert linear speed to angular speed?
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4.The Earth rotates about its axis once every 24 hours (approximately). The radius R of the equator is approximately 4000 miles. Find the angular (radians / second) and linear (feet / second) speed of a point on the equator.
5.How do you find angular speed in radians?
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