Another Center of Mass problem What in the world

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Homework Help Overview

The problem involves calculating the y coordinate of the center of mass for a sulfur dioxide molecule, which consists of two oxygen atoms and one sulfur atom, with the sulfur atom being twice as massive as each oxygen atom. The original poster seeks guidance on how to approach the problem, particularly in relation to the geometry of the molecule as depicted in a provided drawing.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the definition of the center of mass and its mathematical expression. The original poster expresses uncertainty about applying the center of mass equation to the specific problem, particularly regarding the coordinates of the sulfur atom.

Discussion Status

The discussion includes attempts to clarify the concept of center of mass and how to apply the relevant equation. Some participants provide hints and definitions, while others question the specifics of the coordinates needed for the sulfur atom. There is no explicit consensus on the approach to take, but guidance has been offered regarding the mathematical expression.

Contextual Notes

The original poster indicates a desire for hints rather than complete solutions, reflecting the forum's emphasis on learning through exploration. There may be constraints related to the provided drawing and the need for specific coordinate values.

shaka23h
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Chapter 7, Problem 56


The drawing shows a sulfur dioxide molecule. It consists of two oxygen atoms and a sulfur atom. A sulfur atom is twice as massive as an oxygen atom. Using this information and the data procvided in the drawing, find the y coordinate of the center of mass of the sulfur dioxide molecule. Express your answer in nanometers. (1 nm = 10-9 m).

http://img217.imageshack.us/img217/8702/ch07p56ob2.gif



I really need a hint on how to start this problem. I think I need to find one of the sides of the triangle?

Hate to bother u so much Doc but I really want to get these problems down.

Thanks
 
Last edited by a moderator:
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Step 1: Find the definition of the center of mass.
 
The center of mass is a point that represents the average location for the total mass of a system.
 
shaka23h said:
The center of mass is a point that represents the average location for the total mass of a system.

OK, how would you express that mathematically?

(Hint: http://hyperphysics.phy-astr.gsu.edu/Hbase/cm.html" )
 
Last edited by a moderator:
Well I understand the equation Ycm = m1y1 + m2Y2 + m3Y3/ m1+m2+m3.

but I dont' know how I'd go around applying it to this problem.

Thanks for the tips though
 
shaka23h said:
Well I understand the equation Ycm = m1y1 + m2Y2 + m3Y3/ m1+m2+m3.

but I dont' know how I'd go around applying it to this problem.

Thanks for the tips though

If you understand the equation, then you should know how to apply it to the problem.
 
I can find the length of Y of the oxygen with Trig yes, but what is Y for sulfur?

Thanks
 
It should be obvious that's zero
 

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