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What does Fe x De Fr x Dr mean?

Updated: 9/26/2023
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Q: What does Fe x De Fr x Dr mean?
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When working with lever problems what do the variables Fr Fe Dr and De stand for?

When we work with levers, we look at the lever and at the fulcrum. There are 4 variables in the scenario, and they are the force being applied on one side of the lever, and the force being applied on the other. Then there is the distance from the fulcrum that one force is being applied, and lastly the distance from the fulcrum to where the other force is being applied. The forces are Fr and Fe, and the distances from the fulcrum are Dr and De. (We often actually use F1, F2 and D1, D2.) If everything balances out and a static (stationary) condition exists, F1 x D1 = F2 x D2. (For your variables, Fr x Dr = Fe x De.) The products of the force on one side and distance from the fulcrum on that one side equals that same thing on the other side. Simple and easy.


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(AMA / IMA)100 Where AMA represents the actual mechanical advantage and IMA represents the Ideal Mechanical advantage. AMA = Fr/Fe where Fr equals the force of the resistance from the fulcrum, and Fe equals the force of the effort. IMA = De/Dr where De equals the Distance of the effort from the fulcrum and Dr equals the distance of the resistance from the fulcrum


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