While the stiffness of an elastic cord can be quite constant (i.e., the force versus displace- ment curve is a straight line) over a large range of stretch, as a bungee cord is stretched, it softens; that is, the cord tends to get less stiff as it gets longer. Assuming a soften- ing force-displacement relation of the form k8 – B83, where 8 (measured in ft) is the displacement of the cord from its unstretched length, considering a bungee cord whose unstretched length is 150 ft, and letting k = 2.58 lb/ft, determine the value of the con- stant B such that a bungee jumper weighing 170 lb and starting from rest gets to the bottom of a 400 ft tower with zero speed. %3D

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
100%
bungee
cord
400 ft
bungee
jumper
Figure P4.30
Transcribed Image Text:bungee cord 400 ft bungee jumper Figure P4.30
Problem 4.30
While the stiffness of an elastic cord can be quite constant (i.e., the force versus displace-
ment curve is a straight line) over a large range of stretch, as a bungee cord is stretched,
it softens; that is, the cord tends to get less stiff as it gets longer. Assuming a soften-
ing force-displacement relation of the form k8 - B83, where 8 (measured in ft) is the
displacement of the cord from its unstretched length, considering a bungee cord whose
unstretched length is 150 ft, and letting k = 2.58 lb/ft, determine the value of the con-
stant B such that a bungee jumper weighing 170 lb and starting from rest gets to the
bottom of a 400 ft tower with zero speed.
Transcribed Image Text:Problem 4.30 While the stiffness of an elastic cord can be quite constant (i.e., the force versus displace- ment curve is a straight line) over a large range of stretch, as a bungee cord is stretched, it softens; that is, the cord tends to get less stiff as it gets longer. Assuming a soften- ing force-displacement relation of the form k8 - B83, where 8 (measured in ft) is the displacement of the cord from its unstretched length, considering a bungee cord whose unstretched length is 150 ft, and letting k = 2.58 lb/ft, determine the value of the con- stant B such that a bungee jumper weighing 170 lb and starting from rest gets to the bottom of a 400 ft tower with zero speed.
Expert Solution
Step 1 Given Data

Mechanical Engineering homework question answer, step 1, image 1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Fick’s Law of Diffusion and Mass Transfer
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY