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
4 years, 3 months ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

Sort by:

Top Newest

What is the source of this question...?

Deepansh Jindal - 1 year, 5 months ago

Log in to reply

Its from harvard university's website

Erica Phillips - 8 months, 2 weeks ago

Log in to reply

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

Ajit Athle - 3 years, 7 months ago

Log in to reply

22.5

Mohnish Chakravarti - 4 years ago

Log in to reply

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

Himanshu Meena - 4 years, 1 month ago

Log in to reply

Largest possible fraction should be 1/2

Soumil Sahu - 4 years, 1 month ago

Log in to reply

cn u pls post the ans ? is it 45

Arghadip Koner - 4 years, 1 month ago

Log in to reply

90 degrees

Mohamed Elsayed - 4 years, 1 month ago

Log in to reply

Comment deleted Jun 13, 2014

Log in to reply

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

Beakal Tiliksew - 4 years, 3 months ago

Log in to reply

22.5

Bhavish Pahwa - 9 months ago

Log in to reply

45

Sachin Gupta - 4 years, 1 month ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...