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

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The discussion focuses on designing a stable base for a halogen desk lamp, emphasizing the need for the correct equations to prevent tipping. The user struggles with the three-dimensional aspects of the problem and seeks assistance in calculating necessary dimensions. A PDF with diagrams and known information was mentioned, but the user initially had trouble attaching it. Another participant advises that the user must identify relevant equations and demonstrate their calculations for feedback, as direct answers are not permitted. The conversation highlights the importance of understanding fundamental principles in statics for effective problem-solving.
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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