What is the Effort in a Hand Holding a Tray?

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Discussion Overview

The discussion revolves around the mechanics of a waiter holding a tray, specifically focusing on the forces acting on the tray and the concept of "effort" in relation to the pivot point. Participants explore how to determine which part of the hand (the middle finger or the thumb) exerts the effort when lifting the tray, and how this relates to calculating work done in such scenarios.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant presents a scenario with specific downward forces acting on a tray and questions whether the middle finger or the thumb represents the effort when lifting the tray.
  • Another participant questions the relevance of identifying the effort in the context of calculating work, prompting further clarification on the definitions involved.
  • A participant suggests that if the tray moves upward, the upward forces do positive work while the downward forces do negative work, indicating a relationship between force direction and work done.
  • There is a discussion about the convenience of choosing pivot points for taking moments in such problems, with a suggestion to simplify the analysis by focusing on specific points like the thumb or finger.
  • Participants emphasize the importance of drawing forces and equating them to solve the problem effectively.

Areas of Agreement / Disagreement

Participants express differing views on the identification of effort and the relevance of this identification to the calculation of work. The discussion remains unresolved regarding which part of the hand constitutes the effort and how this affects the understanding of work in this context.

Contextual Notes

Participants reference the definition of work in physics and its relationship to forces, but there is no consensus on how "effort" and "load" are defined or applied in this scenario. The discussion includes assumptions about the forces acting on the tray and the mechanics involved in lifting it.

Richie Smash
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HI, I've attached a rough diagram(emphasis on rough) of a waiter holding a tray, there is a downward force of 5N acting on the clockwise side, and a downwards force of 25N on the anticlockwise side of the pivot, which is his middle finger.

The total force acting down is 30N, so therefore the middle finger or pivot is giving an upwards force of 30 N.

I just want to know, if the waiter moves the tray up, is the middle finger the effort or is the thumb the effort?
 

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Richie Smash said:
... is the middle finger the effort or is the thumb the effort?
Why does it matter?
 
So I can know in situations like this for example a question I'm doing, how to calculate the work if something is being lifted.
A.T. said:
Why does it matter?
 
True, but i think I better way to rephrase my question would be, If the waiter moves the tray up, would it be the downward forces doing the work, or the upward force of the pivot finger?
 
Richie Smash said:
True, but i think I better way to rephrase my question would be, If the waiter moves the tray up, would it be the downward forces doing the work, or the upward force of the pivot finger?
Just apply the definition. If the tray moves upward, the upward forces do positive work while the downward forces do negative work.
 
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Richie Smash said:
is the middle finger the effort or is the thumb the effort?
In problems like this one, it is possible to 'take moments' about any point but it is convenient to choose either the thumb or finger. If you choose an arbitrary point along the tray, the equation you come up with has more parts to it so it's a waste of time and, once you get used to this sort of thing, you can often spot a quick way of approaching the problem.
Draw the forces on the diagram and equate the forces and the moments. The answer 'falls out'.
 

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