How Do First Class Levers Apply to Scissors?

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SUMMARY

This discussion focuses on the application of first class levers in the mechanics of scissors. The principle of moments is illustrated with a stone weighing 300N at 1 meter from the fulcrum, requiring a force of 100N exerted at 3 meters to achieve balance. The work done to lift the stone by 0.1 meters is calculated as 30 Joules. The mechanics of scissors are analyzed, confirming that they function as two first class levers, where a force of 10N applied at 0.1 meters results in a cutting force of 20N at 0.05 meters from the fulcrum.

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  • Understanding of first class levers
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  • Familiarity with calculating work in Joules
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Peter G.
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I understand the principle of moments and how it is applicable to first class levers:

A stone, at 1 m from the fulcrum weights 300N
I stand at 3 m from the fulcrum:

Clockwise Moment = Anticlockwise Moment
F x 3 = 300 x 1
Therefore, I have to exert 100N of force to lift the stone. To balance the "see-saw"

The work I do in case I want to raise it by 0.1 m will be:
I stand at 3 meters, the load at 1, so I move three times the distance, therefore, the work I do will be using the distance of 0.3 m

Therefore, Force x Distance = 100 x 0.3 = 30 Joules

However, I need to understand how a scissor works. I am assuming it consists of two first class levers. Does it work like this?

I grip the scissor at 0.1 m from the fulcrum and exert 10 N of force, providing a clockwise turning effect of 1 N/m

The object I'm trying to cut is at 0.05 m from the fulcrum. My guess is that it experiences the same turning effect, but being closer to the fulcrum it will suffer from a much greater force: 10 x 0.1 = F x 0.05 = 20 N of force.

Sorry for the long text but I think it makes it easier for you guys to help me despite being a "pain" to endure :shy:
 
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Hi Peter! :wink:
Peter G. said:
I grip the scissor at 0.1 m from the fulcrum and exert 10 N of force, providing a clockwise turning effect of 1 N/m

The object I'm trying to cut is at 0.05 m from the fulcrum. My guess is that it experiences the same turning effect, but being closer to the fulcrum it will suffer from a much greater force: 10 x 0.1 = F x 0.05 = 20 N of force.

Yes, that's right! :smile:
 


Thanks a lot Tiny-tim! :biggrin:
 

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