Toaster Cord Tension Angle Optimization

AI Thread Summary
To optimize the tension in the toaster's cord when pulling it, the angle of pull above the horizontal is crucial. The discussion emphasizes the importance of creating a free body diagram to analyze the forces acting on the toaster, particularly the x and y components. Participants suggest using net force equations to derive the necessary conditions for movement, cautioning against premature cancellation of variables. Clarification is sought on the correct method to approach the problem, indicating that a structured procedure is essential for solving the equations accurately. Properly addressing these components will lead to determining the optimal pulling angle for minimal cord tension.
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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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