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Exercise 2.25 Rope between inclines

A rope rests on two platforms that are both inclined at an angle \(\theta\) (which you are free to pick), as shown in Figure above. The rope has uniform mass density, and the coefficient of friction between it and the platforms is 1. The system has left-right symmetry.

What is the largest possible fraction of the rope that does not touch the platforms?

What angle \(\theta\) allows this maximum fraction?

Note by Beakal Tiliksew
3 years, 1 month ago

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What is the source of this question...? Deepansh Jindal · 2 months, 4 weeks ago

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You may see the full solution here: https://www.physics.harvard.edu/uploads/files/undergrad/probweek/sol89.pdf One Top · 2 years, 5 months ago

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22.5 Mohnish Chakravarti · 2 years, 10 months ago

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answer is fraction:- 3 - 2^1.5 and angle is pi/8 i.e. 45/2 in degrees Himanshu Meena · 2 years, 11 months ago

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Largest possible fraction should be 1/2 Soumil Sahu · 2 years, 11 months ago

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cn u pls post the ans ? is it 45 Arghadip Koner · 2 years, 11 months ago

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90 degrees Mohamed Elsayed · 2 years, 11 months ago

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Comment deleted Jun 13, 2014

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@Mardokay Mosazghi If the latex is bothering u, simoly post it, we will understand Beakal Tiliksew · 3 years, 1 month ago

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45 Sachin Gupta · 2 years, 11 months ago

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