1. A 100lb weight is suspended by three cables as shown in the figure. The ratios of the stiffness of the cables are: AP:BP:CP = 2k:k:3k, i.e. cable AP and CP are respectively 2x and 3x the stiffness of cable BP. Before the load is applied, all three cables are unloaded and the geometry is as shown. 60" B 45° 60⁰ Assuming the cables are very stiff and the displacements are therefore small, determine the forces in the three cables in terms of stiffness value k and the weight W(= 100). Assuming the springs are not stiff, and therefore the displacements are not necessarily small, develop a set of equations for the displacement of the mass and the forces in the cables.
1. A 100lb weight is suspended by three cables as shown in the figure. The ratios of the stiffness of the cables are: AP:BP:CP = 2k:k:3k, i.e. cable AP and CP are respectively 2x and 3x the stiffness of cable BP. Before the load is applied, all three cables are unloaded and the geometry is as shown. 60" B 45° 60⁰ Assuming the cables are very stiff and the displacements are therefore small, determine the forces in the three cables in terms of stiffness value k and the weight W(= 100). Assuming the springs are not stiff, and therefore the displacements are not necessarily small, develop a set of equations for the displacement of the mass and the forces in the cables.
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
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Transcribed Image Text:1. A 100lb weight is suspended by three cables as shown in the figure. The ratios of the
stiffness of the cables are: AP:BP:CP = 2k:k:3k, i.e. cable AP and CP are respectively 2x and
3x the stiffness of cable BP. Before the load is applied, all three cables are unloaded and
the geometry is as shown.
B
45°
60⁰
V
60"
P
you
45°
C
461
Assuming the cables are very stiff and the displacements are therefore small,
determine the forces in the three cables in terms of stiffness value k and the weight W(=
100).
Assuming the springs are not stiff, and therefore the displacements are not
necessarily small, develop a set of equations for the displacement of the mass and the
forces in the cables.
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