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.
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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.
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