Exercise 2.25 Rope between inclines

A rope rests on two platforms that are both inclined at an angle θ\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 θ\theta allows this maximum fraction?

Note by Beakal Tiliksew
5 years, 4 months ago

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90 degrees

Mohamed Elsayed - 5 years, 2 months ago

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cn u pls post the ans ? is it 45

Arghadip Koner - 5 years, 2 months ago

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Largest possible fraction should be 1/2

Soumil Sahu - 5 years, 2 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 - 5 years, 2 months ago

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22.5

Mohnish Chakravarti - 5 years, 1 month ago

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

Ajit Athle - 4 years, 8 months ago

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What is the source of this question...?

Deepansh Jindal - 2 years, 5 months ago

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Its from harvard university's website

erica phillips - 1 year, 9 months ago

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22.5

bhavish pahwa - 1 year, 9 months ago

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45

Sachin Gupta - 5 years, 2 months ago

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