A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She weighs 585 N. As the drawing shows, she is closer to the left cliff than to the right cliff, with the result that the tensions in the left and right sides of the rope are not the same. Find the tensions in the rope to the left and to the right of the mountain climber. 80.0⁰ TL = TR = i i -65.0°

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Topic Video
Question
3.8
**Problem Description:**

A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She weighs 585 N. As the drawing shows, she is closer to the left cliff than to the right cliff, with the result that the tensions in the left and right sides of the rope are not the same. Find the tensions in the rope to the left and to the right of the mountain climber.

**Diagram Explanation:**

The diagram illustrates a mountain climber suspended between two cliffs. A rope is used to connect the two cliffs, with the climber hanging in between. The left segment of the rope makes an angle of 65.0° with the horizontal, while the right segment of the rope makes an angle of 80.0° with the horizontal.

**Variables:**

- \( T_L \): Tension in the left side of the rope.
- \( T_R \): Tension in the right side of the rope.

**Input Fields:**

Two input boxes are provided to fill in the values of \( T_L \) (left tension) and \( T_R \) (right tension).

**Goal:**

Calculate the tensions \( T_L \) and \( T_R \) based on the given angles and the weight of the climber (585 N).
Transcribed Image Text:**Problem Description:** A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She weighs 585 N. As the drawing shows, she is closer to the left cliff than to the right cliff, with the result that the tensions in the left and right sides of the rope are not the same. Find the tensions in the rope to the left and to the right of the mountain climber. **Diagram Explanation:** The diagram illustrates a mountain climber suspended between two cliffs. A rope is used to connect the two cliffs, with the climber hanging in between. The left segment of the rope makes an angle of 65.0° with the horizontal, while the right segment of the rope makes an angle of 80.0° with the horizontal. **Variables:** - \( T_L \): Tension in the left side of the rope. - \( T_R \): Tension in the right side of the rope. **Input Fields:** Two input boxes are provided to fill in the values of \( T_L \) (left tension) and \( T_R \) (right tension). **Goal:** Calculate the tensions \( T_L \) and \( T_R \) based on the given angles and the weight of the climber (585 N).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
First law of motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON