Exercise
https://texercises.com/exercise/rotating-disk-hit-by-rod/
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Exercise:
A uniform disk turns at pq.rev/s around a frictionless spindle. A nonrotating rod of the same mass as the disk and length equal to the disk's diameter is dropped onto the freely spinning disk. They then both turn around the spindle with their centers superposed. What is the angular frequency in rev/s of the combination?

Solution:
Conservation of angular momentum leads to: L_ L_ J_f_ J_f_ f_ fracJ_J_f_ fracJJ+J'f_ fracfracmr^fracmr^+fracml^f_ && lr fracr^r^+frac r^f_ frac+fracf_ pq.Hz
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Exercise:
A uniform disk turns at pq.rev/s around a frictionless spindle. A nonrotating rod of the same mass as the disk and length equal to the disk's diameter is dropped onto the freely spinning disk. They then both turn around the spindle with their centers superposed. What is the angular frequency in rev/s of the combination?

Solution:
Conservation of angular momentum leads to: L_ L_ J_f_ J_f_ f_ fracJ_J_f_ fracJJ+J'f_ fracfracmr^fracmr^+fracml^f_ && lr fracr^r^+frac r^f_ frac+fracf_ pq.Hz
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Attributes & Decorations
Branches
Momentum
Tags
angular, disk, inertia, mechanics, moment, momentum, of, physics, rod, rotation
Content image
Difficulty
(3, default)
Points
4 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link