Statics. Need help with equations to keep a desk lamp from tipping.

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SUMMARY

The discussion centers on designing a stable base for a halogen desk lamp, specifically addressing the need for relevant equations to prevent tipping. The user seeks assistance with three-dimensional calculations involving angles α and β, which are measured horizontally. The community member, dealdoe22, emphasizes the importance of independently listing relevant equations and showing work, as direct assistance with homework equations is not permitted.

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This discussion is beneficial for engineering students, product designers, and anyone involved in creating stable structures, particularly in the context of lamp design and similar projects.

dealdoe22
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Just joined PF and my mind is completely shutting down on me.

I need to design the base of a halogen desk lamp and am having a problem getting started. My biggest problem is finding the correct equation to use to begin calculating the numbers. It is a three dimensional problem. Can someone please help me with this.



I have attached a pdf file of the diagrams and known information. The basics are that the base needs to be circular and angles α and β are measured horizontally regardless of their position.
 
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Sorry. I don't think I attached the pdf on the first try.
 

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dealdoe22: You must list relevant equations yourself, and show your work. And then someone might check your math. We are not allowed to give you the relevant equations for your homework.
 

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