SOLUTION: I have balanced a weightless beam , ten meters long, on a fulcrum by putting a 6 kg mass on one end, and an unknown mass on the other end. To balance this, I had to place the fulc

Algebra ->  Algebra  -> Triangles -> SOLUTION: I have balanced a weightless beam , ten meters long, on a fulcrum by putting a 6 kg mass on one end, and an unknown mass on the other end. To balance this, I had to place the fulc      Log On

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Question 20645: I have balanced a weightless beam , ten meters long, on a fulcrum by putting a 6 kg mass on one end, and an unknown mass on the other end. To balance this, I had to place the fulcrum 1.5 meters from the 6kg mass. What is the unknown mass?

Answer by AnlytcPhil(1116) About Me  (Show Source):
You can put this solution on YOUR website!
I have balanced a weightless beam , ten meters long, on a fulcrum
by putting a 6 kg mass on one end, and an unknown mass on the other
end. To balance this, I had to place the fulcrum 1.5 meters from
the 6kg mass. What is the unknown mass?
`
The equation is gotten using this model:
`
(Left mass) × (Left mass's distance to fulcrum) = (Right mass) × (Right mass's distance to fulcrum)
`
Left mass = 6 kg
Left mass's distance to fulcrum = 1.5 meters
Right mass (unknown) = x kg
Right mass's distance to fulcrum = 10 meters - 1.5 meters = 8.5 meters
`
(6)(1.5) = (x)(8.5)
`
Solve that, get 1 1/17 kg. or about 1.06 kg.
`
Edwin
AnlytcPhil@aol.com