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(a)
Find the tension
(a)
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Answer to Problem 2.45P
The tension
Explanation of Solution
Given information:
The force (F) in point C is 1.98 kN.
The horizontal (AC) length between point A and C is 4.8 m.
The horizontal (CB) length between point C and B is 3 m.
The height (A) at point A is 3.4 m.
The height (B) at point B is 3.6 m.
Calculation:
Calculate vertical distance
Substitute 3.4 m for A and 2 m for d.
Calculate vertical distance
Substitute 3.6 m for B and 2 m for d.
Show the free body diagram of two cable as in Figure 1.
Calculate the angle
Substitute 1.4 m for
Calculate the angle
Substitute 1.6 m for
Calculate the angle
Substitute
Calculate the angle
Substitute
Calculate the angle
Substitute
Show the force triangle as in Figure 2.
Write the below expression by applying law of sines for Figure 2.
Calculate the tension
Eliminate the
Substitute 1.98 kN for F,
Therefore, the tension
(b)
The tension
(b)

Answer to Problem 2.45P
The tension
Explanation of Solution
Given information:
The force (F) in point C is 1.98 kN.
The horizontal (AC) length between point A and C is 4.8 m.
The horizontal (CB) length between point C and B is 3 m.
The height (A) at point A is 3.4 m.
The height (B) at point B is 3.6 m.
Calculation:
Calculate the tension
Eliminate the
Substitute 1.98 kN for F,
Therefore, the tension
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Chapter 2 Solutions
Vector Mechanics for Engineers: Statics, 11th Edition
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