Mechanical Advantage of a Lever

AI Thread Summary
A lever with a mechanical advantage of 0.5 indicates that the input force is not amplified but rather requires double the force to achieve the same output. This means that while the force is halved, the distance over which the force is applied is doubled, maintaining the principle of work input equaling work output. The relationship between force and distance in levers demonstrates that as one aspect decreases, another increases to balance the equation. Understanding this concept can be enhanced by practical experimentation with a lever. Overall, the mechanical advantage of a lever fundamentally illustrates the trade-off between force and distance.
Wolfowitz
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Homework Statement


If a lever has a mechanical advantage of 0.5 - does this mean the input force is not amplified but halved?


Homework Equations





The Attempt at a Solution

 
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wolfowitz said:

Homework Statement


if a lever has a mechanical advantage of 0.5 - does this mean the input force is not amplified but halved?


Homework Equations





The Attempt at a Solution


yes !
 
If a lever has a mechanical advantage of 0.5 - does this mean the input force is not amplified but halved?
So you might wonder, "What's the advantage then, when I have to exert double the force?" Well, as is the way with simple levers, if one thing halves, something else will double. Can you figure out how we benefit here, with this type of lever?
 
Work input = Work output
(Force * distance) input = (Force * distance) output
(Force * distance) input = (force/2 * distance2) output

Distance is doubled, right?

But what, exactly, is "distance" in terms of a lever?
 
Wolfowitz said:
Work input = Work output
(Force * distance) input = (Force * distance) output
(Force * distance) input = (force/2 * distance2) output

Distance is doubled, right?

But what, exactly, is "distance" in terms of a lever?

Make one using a ruler or stick, and see if you can figure it out.
 
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