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A uniform disk of mass 10 kg and radius 3.0 m can rotate without friction about its fixed center like a merry-go-round. A second smaller uniform disk of mass 1 kg and radius 1 m lies on top of the first disk, concentric with it. Initially the two disks rotate together with an angular velocity of 41 rad/s. Then a slight disturbance causes the smaller disk to slide outward across the larger disk, until the outer edge of the smaller disk catches on the outer edge of the larger disk. Afterwards, the two disks again rotate together.
(a.) What is the angular velocity of the two disks together about the center of the large disk after the small disk have moved?
(b.) What is the ratio K/K0 of the new kinetic energy of the two-disk system to the system's initial kinetic energy?
Illustrate what is the smallest angle of incidence with respect to the top mirror, such that the laser beam hits the mirrors in each way?
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What mass of water at 29.0°C added to a Styrofoam cup containing two 60.0 g ice cubes from a freezer at -16.0°C will result in a final temperature of 5.00°C for the drink? Explain it.
One tire is inflated to a pressure of 40 and goes a distance of 18.0 ; the other is at 105 and goes a distance of 93.4. Assume that the net horizontal force is due to rolling friction only and take the free-fall acceleration to be = 9.80.
A dead tree is initially stationary and there is a 30.0-degree angle between the tree and the vertical. The roots finally give way and the tree topples to the ground (rotating on an axis that is parallel to the level ground and intersecting the ba..
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