Toaster Cord Tension Angle Optimization

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Homework Help Overview

The problem involves determining the optimal angle at which to pull a toaster's cord to minimize tension while overcoming static friction. The context is rooted in mechanics, specifically focusing on forces and friction on a horizontal surface.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need for a free body diagram and the importance of analyzing the x and y components of forces. There are attempts to apply net force equations, but some participants express confusion about deriving the necessary relationships and canceling unknowns.

Discussion Status

The discussion is ongoing, with participants providing guidance on drawing diagrams and considering force components. There is a recognition of the need for clarity in the equations being used, but no consensus has been reached on the correct approach yet.

Contextual Notes

Participants mention the necessity of deriving equations and the potential pitfalls of canceling unknowns prematurely. There is an emphasis on ensuring all components are accounted for in the analysis.

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Homework Statement


A 1.26kg toaster is not plugged in. The coefficient of static friction between the toaster and a horizontal countertop is 0.395. To make the toaster start moving, you carelessly pull on its electric cord. For the cord tension to be as small as possible, you should pull at what angle above the horizontal?

Homework Equations


F=ma
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The Attempt at a Solution


I have tried using a regular F net equation, but was told that I need to derive somewhere?
 
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You need to draw a free body diagram and be careful to consider x and y components of the vectors.

What is the y component of acceleration (therefore the net y component of force divided by mass)?
 
I have tried this, but it lead to me cancelling out my unknown? Is there a specific method/procedure that I should follow?
 
You did it wrong. Try again. Post vertical and horizontal equations here before you cancel anything out.
 

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