Working out the coeffient of friction?

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To calculate the coefficient of static friction (μ) for a ladder weighing 250 N and resting at a 55-degree angle against a smooth wall, a free body diagram (FBD) is essential. The discussion highlights that many students struggle with this problem, as it has appeared in past exams without prior classroom coverage. Participants encourage sharing attempts and specific points of confusion to facilitate assistance. Understanding the forces acting on the ladder, including friction and normal forces, is crucial for solving the problem. Collaboration and clear communication of difficulties can help students overcome their challenges in this physics scenario.
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Homework Statement



A ladder of weight 250 N and of length 6.0 m....?
A ladder of weight 250 N and of length 6.0 m rests with its lower end on a horizontal rough concrete surface and its upper end against a smooth wall. If the ladder just starts to slip when the angle between it and the concrete is 550, calculate the coefficient of static friction μ.


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The Attempt at a Solution



Unfortunately I have no idea where to begin. So any help would be much appreciated.
 
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Begin by drawing a free body diagram (FBD) of the ladder.
 
Sorry, I had already done that and am still struggling! This has croppped up on a number of past exam papers but we haven't been through it in class.
 
If you've already done it, show what you did and where you got stuck. We will help you get unstuck and stop struggling.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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