Common angular speed after collision

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Homework Help Overview

The problem involves two disks with different masses and radii rotating about a vertical axle. Disk A rotates clockwise at a specified angular speed, while Disk B rotates counterclockwise and slides down to land on Disk A. The discussion centers on finding their common angular speed after the collision.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the conservation of angular momentum as a potential approach. There are attempts to calculate angular momentum for both disks, with varying interpretations of the setup and calculations presented.

Discussion Status

Participants are actively engaging with the problem, sharing their attempts at calculations and questioning the methods used. Some guidance regarding the conservation of angular momentum has been suggested, but no consensus has been reached on the correct approach or solution.

Contextual Notes

There are mentions of frustration with the calculations and confusion regarding the application of angular momentum principles. The problem also involves specific units and definitions that may be under discussion.

csimon863
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Homework Statement



Disk A, with a mass of 9.0 and a radius of 90 , rotates clockwise about a frictionless vertical axle at 30 . Disk B, also 9.0 but with a radius of 10 , rotates counterclockwise about that same axle, but at a greater height than disk A, at 30 . Disk B slides down the axle until it lands on top of disk A, after which they rotate together.

Homework Equations



ive been trying to find the acceleration? a=delta w/delta t but obviously this isn't wokring!

The Attempt at a Solution


I can't even attempt a solution. I am completely lost on this one, so much so i registered for physics forum just to get some help.
 
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Whats the question? Edit: I see it now in the heading. What about conservation of angular momenta?
 
the setup: disk a has a mass of 9.0 kg and a radius of 90cm, rotates clockwise about a frictionless vertical axle at 30 rev/s. disk b, also 9.0 kg but with a radius of 10cm rotates counterclockwise about that same axle but at a greater height than disk a, at 30 rev/s. disk b slides down the axle until it lands on top of disk a, after which they rotate together. after the collision, what is their common angular speed in rev/s?

i tried:
A has L= I x w, I = mass x rad^2 = 7.29 x -30 = -218.7 L for b = +2.7. So the final L = -216 CW

its not working. very frustrating.
 
maybe the math--using cm-kg: this is the (1/2 mR^2) x revs/sec
a: +9 x 8100/2 x 30
b: -9 x 100/2 x 30
Sum: 9 x 8000/2 x 30 = 36000 x 30 = 108 x 10^4

Sum for the composite= [9 x 8100/2 + 9 x 100/2] x ? =9 x 4100 x ?
? = 29.27 RPS

PS: clockwise rotation I define as positive quantity.
 

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