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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TopNewest90 degrees

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cn u pls post the ans ? is it 45

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Largest possible fraction should be 1/2

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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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22.5

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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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What is the source of this question...?

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Its from harvard university's website

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22.5

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45

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