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Grade upto college level Mechanics

A uniform fiat disk of mass M and radius R rotates about a horizontal axis through its center with angular speed woo (a) What is its angular momentum? (b) A chip of mass m breaks off the edge of the disk at an instant such that the chip rises vertically above the point at which it broke off (Fig). How high above the point does it rise before starting to fall? (c) What is the final angular speed of the broken disk?
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

Profile image of Amit Saxena
11 Years agoGrade upto college level
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1 Answer

Profile image of Navjyot Kalra
11 Years ago
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