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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Transcribed Image Text: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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