College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
Bartleby Related Questions Icon

Related questions

Topic Video
Question
**Problem Statement:**

A 10 ft chain weighs 75 lb and hangs from a ceiling. Find the work done (in ft-lb) in lifting the lower end of the chain to the ceiling so that it's level with the upper end.

---

In order to solve this problem, students should be familiar with the concept of work done in lifting an object, which can be calculated using the integral of the force required over the distance it's moved. This involves calculus and understanding of physical principles such as weight distribution and gravitational force.

**Important Concepts:**
1. **Gravitational Force:** The weight of the chain creates a force due to gravity.
2. **Work Done (W):** This is calculated by the integral of force times distance.

To determine the work done, we must consider that the chain’s weight is not constant but varies linearly from the bottom to the top as segments of the chain are lifted.

Here's a breakdown of steps for solving such a problem:
1. Determine the force required to lift each infinitesimal segment of the chain.
2. Integrate this force over the length of the chain to find the total work done.

Mathematically, this can be expressed as:
\[ W = \int_{0}^{10} \text{force} \cdot dy \]

Given the uniform weight distribution, this problem often involves setting up and solving definite integrals to find the total work done.

Be sure to follow along with examples in your textbook or module to practice solving similar problems.
expand button
Transcribed Image Text:**Problem Statement:** A 10 ft chain weighs 75 lb and hangs from a ceiling. Find the work done (in ft-lb) in lifting the lower end of the chain to the ceiling so that it's level with the upper end. --- In order to solve this problem, students should be familiar with the concept of work done in lifting an object, which can be calculated using the integral of the force required over the distance it's moved. This involves calculus and understanding of physical principles such as weight distribution and gravitational force. **Important Concepts:** 1. **Gravitational Force:** The weight of the chain creates a force due to gravity. 2. **Work Done (W):** This is calculated by the integral of force times distance. To determine the work done, we must consider that the chain’s weight is not constant but varies linearly from the bottom to the top as segments of the chain are lifted. Here's a breakdown of steps for solving such a problem: 1. Determine the force required to lift each infinitesimal segment of the chain. 2. Integrate this force over the length of the chain to find the total work done. Mathematically, this can be expressed as: \[ W = \int_{0}^{10} \text{force} \cdot dy \] Given the uniform weight distribution, this problem often involves setting up and solving definite integrals to find the total work done. Be sure to follow along with examples in your textbook or module to practice solving similar problems.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Physics
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
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Text book image
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
Text book image
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON