Angular Velocity of Two Attached Disks with Different Masses

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Homework Help Overview

The discussion revolves around a problem in rotational dynamics involving two solid disks with different masses and a shared radius. The original poster presents a scenario where one disk is rotating and another is dropped onto it, prompting a question about the resulting angular velocity of the combined system.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants mention the conservation of angular momentum as a relevant principle. Others question the appropriateness of equating the moments of inertia of the two disks in their reasoning.

Discussion Status

The discussion is active, with participants exploring different aspects of the problem. Some guidance on using conservation laws has been suggested, but there is no explicit consensus on the approach to take or the calculations involved.

Contextual Notes

Participants are navigating the implications of the disks' differing masses and the assumptions about their interaction when they become attached. There is also a mention of potential constraints related to homework guidelines.

twjtiger
Another one that I can't figure out.

A solid disk of mass 5.0 kg and a radius of 15.0 cm is rotating with a constant angular velocity of 10.0 rad/sec. Another disk, with the same radius but a mass of 8.0 kg, is slowly dropped upon the first disk until they rotate together. Determine the angular velocity of the system after the two disks are attached.
 
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Conservation of angular momentum!
 
It would be approximtely 3.8 rad/s
 
Would I start with

1/2 MR(Sqared)=1/2 MR(Squared)

That would set the two disks equal to each other. Would this be correct?
 

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