A mass m is suspended by three cables attached at three points B, C, and D, as shown in Figure1. Let T1, T2, and T3 be the tensions in the three cables AB, AC, and AD, respectively. If themass m is stationary, the sum of the tension components in the x, in the y, and in the z directionsmust each be zero. This gives the following three equations:37,T3= 0V35 V34 V424T3T13T1V35 V425T15T,5T3+mg = 0V35V34 V421 m3m3mВ4mD5 m1 myAmFigure 1. A mass suspended by three cables.Determine T1, T2, and T3 in terms of an unspecified value of the weight mg. (Hints: you canassume mg = 1, and find the values of T1, T2 and T3, respectively, and the final expressionsshould be these values multiplied by mg.)

Answered: Image /qna-images/answer/6ac08148-9dba-497e-bd0c-14c885a05ca6.jpg

A mass m is suspended by three cables attached at three points B, C, and D, as shown in Figure 1. Let T1, T2, and T3 be the tensions in the three cables AB, AC, and AD, respectively. If the mass m is stationary, the sum of the tension components in the x, in the y, and in the z directions must each be zero. This gives the following three equations: T1 3T2 T3 V35 V34 V42 3T, 4T3 = 0 V35 V42 5T3 5T1 572 + V42 mg = 0 V35 V34 1m 3m 3m 4m 5 m 1m y A m Figure 1. A mass suspended by three cables. Determine T1, T2, and T3 in terms of an unspecified value of the weight mg. (Hints: you can assume mg = 1, and find the values of T1, T2 and T3, respectively, and the final expressions should be these values multiplied by mg.)

A mass m is suspended by three cables attached at three points B, C, and D, as shown in Figure 1. Let T1, T2, and T3 be the tensions in the three cables AB, AC, and AD, respectively. If the mass m is stationary, the sum of the tension components in the x, in the y, and in the z directions must each be zero. This gives the following three equations: T1 3T2 T3 V35 V34 V42 3T, 4T3 = 0 V35 V42 5T3 5T1 572 + V42 mg = 0 V35 V34 1m 3m 3m 4m 5 m 1m y A m Figure 1. A mass suspended by three cables. Determine T1, T2, and T3 in terms of an unspecified value of the weight mg. (Hints: you can assume mg = 1, and find the values of T1, T2 and T3, respectively, and the final expressions should be these values multiplied by mg.)

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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Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

Question

A mass m is suspended by three cables attached at three points B, C, and D, as shown in Figure
1. Let T1, T2, and T3 be the tensions in the three cables AB, AC, and AD, respectively. If the
mass m is stationary, the sum of the tension components in the x, in the y, and in the z directions
must each be zero. This gives the following three equations:
37,
T3
= 0
V35 V34 V42
4T3
T1
3T1
V35 V42
5T1
5T,
5T3
+
mg = 0
V35
V34 V42
1 m
3m
3m
В
4m
D
5 m
1 m
y
A
m
Figure 1. A mass suspended by three cables.
Determine T1, T2, and T3 in terms of an unspecified value of the weight mg. (Hints: you can
assume mg = 1, and find the values of T1, T2 and T3, respectively, and the final expressions
should be these values multiplied by mg.)

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