Center of Gravity/ Seesaw problem?

AI Thread Summary
The problem involves a wooden beam weighing 820 N and measuring 3.2 m in length, with its center of gravity located 1.4 m from one end. Two workers are lifting the beam at its ends, and the goal is to determine how much weight each worker supports. The equations of torque are set up as Tcw = Tccw and F*l = F*l, but the user struggles with having two variables without a third equation. A suggestion is made to include the equation that the sum of the forces lifted by both workers (x + y) must equal the total weight of the beam (820 N). This additional equation will help solve for the individual forces each worker exerts.
laneybaney
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Homework Statement


A large wooden beam weighs 820 N and is 3.2 m long. the beam's CG is 1.4 m from one end. two workers carry it away. If they lift the beam at its ends, what part of the weight does each worker lift?


Homework Equations



Tcw=Tccw
F*l=F*l

The Attempt at a Solution


I tried drawing out the picture and doing

1.4(x)= 1.8(y)
I realize you can't have two variables so I'm very confused

Any help is apreciated!
 
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laneybaney said:

Homework Statement


A large wooden beam weighs 820 N and is 3.2 m long. the beam's CG is 1.4 m from one end. two workers carry it away. If they lift the beam at its ends, what part of the weight does each worker lift?

Homework Equations



Tcw=Tccw
F*l=F*l

The Attempt at a Solution


I tried drawing out the picture and doing

1.4(x)= 1.8(y)
I realize you can't have two variables so I'm very confused

Any help is appreciated!
Hello laneybaney. Welcome to PF !

From what you set up, I take it that one worked lifts with a force, x, and the other lifts with a force of y .

There's one more equation you need so that you can solve two equations in two unknowns.

What must the sum x+y be equal to ?
 

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