Tried Solving a Problem but Need Help?

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Homework Help Overview

The discussion revolves around a physics problem related to the concept of work and its application in different dimensions, particularly focusing on the x-direction and its relevance to the surface's orientation.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the application of the definition of work in the x-direction and question its effectiveness. There are attempts to understand the relevance of the x-direction in relation to the surface's orientation and the implications of using a Cartesian coordinate system.

Discussion Status

Participants are actively engaging with each other's points, clarifying misunderstandings, and exploring the implications of their assumptions about the surface's shape and orientation. Some guidance has been offered regarding the need to consider the surface's characteristics in their approach.

Contextual Notes

There is a mention of the complexity introduced by surfaces of varying shapes and orientations, which may affect the attempted solutions. Participants are navigating through the constraints of their assumptions regarding the problem setup.

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Homework Statement
Please see below
Relevant Equations
Please see below
1673238784811.png

The solution is,
1673238812559.png
,
However is there a better way?

I tried using their suggestion of the definition of work and applying it in the x-direction.
1673238967342.png

But it does not seem to work.

Thanks for any help!
 
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Callumnc1 said:
But is not dose seem to work.
Do you mean "But it does not seem to work."?
 
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PeroK said:
Do you mean "But it does not seem to work."?
Thanks for your reply @PeroK ! Yes, sorry that was what I meant - I have fixed it now.
 
Callumnc1 said:
Thanks for your reply @PeroK ! Yes, sorry that was what I meant - I have fixed it now.
What's the relevance of ##x## in this case? Did you understand the book solution?
 
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PeroK said:
What's the relevance of ##x## in this case? Did you understand the book solution?
Thanks for your reply @PeroK ! I thought maybe I could prove it in the x-direction first then extend it to more dimensions. But I guess I should probably use at least the cartesian coordinate system so do it in terms of the displacement vector ds like the solutions.
 
Callumnc1 said:
Thanks for your reply @PeroK ! I thought maybe I could prove it in the x-direction first then extend it to more dimensions. But I guess I should probably use at least the cartesian coordinate system so do it in terms of the displacement vector ds like the solutions.
What if the ##x## direction is normal to the surface?
 
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PeroK said:
What if the ##x## direction is normal to the surface?
Thanks for your reply @PeroK ! I guess that means that y-direction will be along the surface
 
Callumnc1 said:
Thanks for your reply @PeroK ! I guess that means that y-direction will be along the surface
The surface could be any shape and any orientation. Your attempted solution in general is doomed! Do you see that?
 
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PeroK said:
The surface could be any shape and any orientation. Your attempted solution in general is doomed! Do you see that?
Oh true @PeroK! I forgot that the surface could be any shape! I was assuming that the surface was flat. That would be very hard to account for the shape of the surface doing it my way!! Thank you!
 

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