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?

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## Comments

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TopNewestWhat is the source of this question...?

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Its from harvard university's website

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You may see the full solution here: https://www.physics.harvard.edu/uploads/files/undergrad/probweek/sol89.pdf

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22.5

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answer is fraction:- 3 - 2^1.5 and angle is pi/8 i.e. 45/2 in degrees

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Largest possible fraction should be 1/2

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cn u pls post the ans ? is it 45

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90 degrees

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Comment deleted Jun 13, 2014

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If the latex is bothering u, simoly post it, we will understand

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22.5

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45

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