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Integrals and Work: Example 3 - Pulling a Rope

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First published at 07:09 UTC on December 27th, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over another example on determining the amount of work done in moving an object using integrals and this time I look at pulling a rope from the top of a building. In this example, the force required to pull the rope up is not given but we can determine the force and hence the work by breaking the rope into many small pieces and then use integration to determine the equation and hence amount of work required to pull up the rope. The reason we need to consider the rope as many small pieces is because as the rope is pulled up the length of the rope changes and thus the amount of force required keeps decreasing as the length of rope being pulled up decreases.

Download the notes in my video: http://1drv.ms/1CFoEb3

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/integrals-and-work-example-3-pulling-a-rope

Related Videos:

Integrals and Work: Example 2 - Hooke's Law: http://youtu.be/h8lwvB9rOng
Integrals and Work Example 1: http://youtu.be/YO0M0w12URo
Integrals and Work: Introduction: http://youtu.be/dNmfGmWyMqc
Integrals and Areas Between Curves: http://youtu.be/2F03KMLIzbk
Area Under a Curve: Introduction to Integral Calculus: http://youtu.be/JbEbhv8ybmE
The Definite Integral - Brief Introduction: http://youtu.be/vhMP5SKbQjU
Fundamental Theorem of Calculus - Introduction and Part 1 of the Theorem: http://youtu.be/3o8Q6UJzJyk
Fundamental Theorem of Calculus - Proof of Part 1 of the Theorem: http://youtu.be/CAqTwiPxYwU .

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