A fish has been hooked and is pulling on the line as shown in the figure below. 25.0⁰ N.m 25.0° 35.0⁰ If the pole makes an angle of 25° with the horizontal, the distance between the point where the line is attached to the pole and the anglers hand is L = 2.00 m, and the fish pulls on the line such that the tension in the line is T = 130 N at an angle 35.0° below the horizontal, determine the magnitude (in N m) of the torque exerted by the fish about an axis perpendicular to the page and passing through the angler's hand.

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
Question
100%
**Fishing Line Torque Calculation**

A fish has been hooked and is pulling on the line as depicted in the figure below.

![Fishing scenario](image_url_placeholder)

In the figure, the fishing pole is positioned at an angle of 25° with the horizontal. The distance \( L = 2.00 \, \text{m} \) is the length from the point where the line is attached to the pole to the angler's hand. The fish exerts a pull on the line, creating a tension \( T = 130 \, \text{N} \) at an angle of 35.0° below the horizontal.

**Objective:**
Determine the magnitude of the torque (in Newton meters) exerted by the fish on the pole. The torque is calculated about an axis perpendicular to the page and passing through the angler's hand.

**Diagram Explanation:**
- The pole is inclined at 25° to the horizontal.
- Tension \( \vec{T} \) in the line acts at a 35.0° angle below the horizontal.
- The horizontal and vertical components of these angles are crucial for calculating the torque.

**Calculation:**

\[
\text{Torque} (\tau) = L \cdot T \cdot \sin(\theta)
\]

Where:
- \( L \) is the length of the pole segment (\( 2.00 \, \text{m} \))
- \( T \) is the line tension (\( 130 \, \text{N} \))
- \( \theta \) is the effective angle between the line of action of the force and the lever arm.

Substitute and calculate the value to find the torque exerted by the fish on the pole.

\(\boxed{\text{N} \cdot \text{m}}\)
Transcribed Image Text:**Fishing Line Torque Calculation** A fish has been hooked and is pulling on the line as depicted in the figure below. ![Fishing scenario](image_url_placeholder) In the figure, the fishing pole is positioned at an angle of 25° with the horizontal. The distance \( L = 2.00 \, \text{m} \) is the length from the point where the line is attached to the pole to the angler's hand. The fish exerts a pull on the line, creating a tension \( T = 130 \, \text{N} \) at an angle of 35.0° below the horizontal. **Objective:** Determine the magnitude of the torque (in Newton meters) exerted by the fish on the pole. The torque is calculated about an axis perpendicular to the page and passing through the angler's hand. **Diagram Explanation:** - The pole is inclined at 25° to the horizontal. - Tension \( \vec{T} \) in the line acts at a 35.0° angle below the horizontal. - The horizontal and vertical components of these angles are crucial for calculating the torque. **Calculation:** \[ \text{Torque} (\tau) = L \cdot T \cdot \sin(\theta) \] Where: - \( L \) is the length of the pole segment (\( 2.00 \, \text{m} \)) - \( T \) is the line tension (\( 130 \, \text{N} \)) - \( \theta \) is the effective angle between the line of action of the force and the lever arm. Substitute and calculate the value to find the torque exerted by the fish on the pole. \(\boxed{\text{N} \cdot \text{m}}\)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Centripetal force
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.
Similar questions
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