How masses are added together on a lever

1. Dec 21, 2008

gallimaufry

lets say we have a balance with these masses attached:
1) 11g mass at 7cm to the left of the fulcrum
2) 32g mass at 16cm to the left of the fulcrum
3) 11g mass at 7cm to the right of the fulcrum
4) 32g mass at 16 cm to the right of the fulcrum

This balance should be balanced right now because we have the same weights on each side. Lets say i wanted to combine the masses on the right so that i have one mass on the right balancing out the 2 masses on the left, How would i figure out what the mass is and the distance it should be at. I added a picture of the original balance to give you a visual, and another picture to show you what I want it to look like. In the picture the before and after should both be balanced, I just dont know what should go in the after picture. Thanks for the help.

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2. Dec 22, 2008

tiny-tim

Welcome to PF!

Hi gallimaufry! Welcome to PF!

Just use moments about the fulcrum …

on the after picture, mark the ? distance as L, and the ? mass as M …

what moment do you get (on the right-hand side), and what moment was there in the before picture?

(you should find that L can be anything, so long as you're allowed to choose the right M )