Determining Maximum Distance Using Center of Mass

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Homework Help Overview

The discussion revolves around determining the maximum distance a system can extend based on the center of mass (CM) of two equal mass blocks positioned on a table, with part of one block hanging over the edge. Participants are exploring the relationship between the masses and their positions to understand how the CM affects the system's balance.

Discussion Character

  • Conceptual clarification, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to establish the conditions under which the center of mass is at the edge of the table. Questions arise regarding the relationship between the masses on the table and those hanging off, as well as how to simplify the problem for better understanding.

Discussion Status

The discussion is active, with participants providing insights into the balance of mass and length in relation to the center of mass. There is a focus on understanding the implications of equal mass and length, and how these factors influence the overall system. Some guidance has been offered regarding simplifying the problem to one block.

Contextual Notes

Participants are working under the assumption that the blocks are uniform in mass, length, and density. There is an ongoing exploration of how much of the total length of the blocks hangs over the edge based on the mass distribution.

UrbanXrisis
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question is http://home.earthlink.net/~urban-xrisis/clip003.jpg

I'm guessing that the center of mass has to be in the edge. I'm not sure how to set it up so that I can find the most distance. any ideas?
 
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the CM of the system is definitely on the edge. The blocks on the table are of equal mass and length, if the CM of the system is exactly on the edge, what do you know about how much mass is on the table relative to how much total mass there is?
 
they should be equal?
 
The mass hanging over the edge = The mass on the table, the center of mass of the whole system is on the edge means the mass to the right balances the mass to the left. If both blocks weigh the same, the only thing that isn't symmetric is the position of L. if half the mass hangs over the edge, then how much of the total length hangs over the edge? (they are the same mass, length, and density)
 
total length is 2L so half is hanging off, that means the length of L is hanging off?
 
No, total length means the length from the leftest point on the lower block to the rightest point on the right block. If half the mass is hanging off and half is on, then how much of the length is hanging off? They are uniform blocks.

Try simplifying the system to just one block and figure it out that way.
 
3L/4?
is that it?
 

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