How Do First Class Levers Apply to Scissors?

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First class levers, such as scissors, operate on the principle of moments, where the force applied and the distance from the fulcrum determine the turning effect. In the example provided, a person exerts a force of 100N at a distance of 3m to balance a 300N load at 1m from the fulcrum, illustrating the relationship between force and distance. When using scissors, gripping at 0.1m and applying 10N of force creates a clockwise moment, while the object being cut, positioned at 0.05m, experiences a greater force due to its proximity to the fulcrum. The calculations confirm that the force on the object is 20N, demonstrating how leverage amplifies force in cutting actions. Understanding these mechanics is essential for grasping how scissors function effectively.
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:
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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