Statics : find coefficient of static friction

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Discussion Overview

The discussion revolves around determining the coefficient of static friction for a shell that begins to slip at an angle of θ = 60°. The context includes a homework problem involving statics and friction, with participants exploring the relationships between forces acting on the shell.

Discussion Character

  • Homework-related
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant expresses uncertainty about how to begin solving the problem, questioning the assumption that the horizontal force P does not affect the normal force and the implications of constant friction.
  • Another participant suggests finding the centroid of the shell and using a free body diagram to sum forces in both X and Y directions, indicating that the coefficient of static friction is likely related to the angle.
  • A third participant confirms that the outlined method will yield the correct answer and emphasizes treating the problem as a statics issue.
  • A later reply indicates that the suggested method worked for them, expressing gratitude for the assistance.

Areas of Agreement / Disagreement

While there is some agreement on the approach to solving the problem, the initial uncertainty about assumptions and the nature of friction indicates that multiple views and interpretations remain present in the discussion.

Contextual Notes

Participants have not fully resolved the implications of the assumptions regarding the horizontal force P and its effect on the normal force and friction. The discussion does not clarify the relationship between the angle and the coefficient of static friction in detail.

tranj10
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Homework Statement


Find coefficient of static friction if shell starts to slip at θ = 60°

known - θ
unknowns - P, r, Normal force, weight

Homework Equations


friction = μ * normal force


The Attempt at a Solution


I do not know where to start. It looks like the picture wants you to assume P is always horizontal so it has no effect on the normal force which means friction is constant. If friction were constant though why would it start to slip?
 

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I haven't done this problem but here is a place to start.

Find the centroid of the shell. The gravitational force will act through the centroid. P is horizontal. Do a free body diagram. Sum forces in X and Y direction. Sum the moments around the contact point. Hopefully everything falls out but Coefficient of static friction which is probably related somehow to the angle.
 
Yep, the method I outlined above will give you the correct answer. Treat this as a statics problem.
 
ah yes. Your method worked perfectly for me, thank you.
 

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