A disc that has a mass of 2 kg and radius 10 cm is rotating at 5 radians per second. A hollow hoop of mass 1 kg and radius 8 cm that is stationary is dropped onto it, sticking to the disc. Solve for the resulting angular velocity they will share, in units of radian per second. Note moment of inertia for disc is (1/2)mr^2, and for the hoop is mr^2, and only the numerical answer needs to be typed in. *

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Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.