For the frame of Prob. 2.85, determine the magnitude and direction of the resultant of the forces exerted by the cables at B knowing that the tension is 540 N in cable BG and 750 N in cable BH.
The direction and the magnitude of the resultant of the forces exerted by the cables at
Answer to Problem 2.95P
The direction and the magnitude of the resultant of the forces exerted by the cables at
Explanation of Solution
The following figure gives the sketch of the system given in the problem.
The tension in the cables
The tension in the cable
The tension in the cable
Write the equation to find the magnitude of the vector
Write the equation to find the unit vector along
Write the equation of
Here,
Write the equation for force
Write the equation to find the magnitude of the vector
Write the equation to find the unit vector along
Write the equation of
Here,
Write the equation for force
Refer figure P2.85.
Write the equation to find the resultant of the two vectors.
Here,
Write the equation to find the magnitude of the vector
Write the equation to find the direction of vector
Here,
Conclusion:
Refer Fig.P2.85 and calculate the vector coordinates of the vector
Substitute
Substitute
Substitute
Substitute
Refer Fig.P2.85 and calculate the vector coordinates of the vector
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, the direction and the magnitude of the resultant of the forces exerted by the cables at
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Chapter 2 Solutions
Loose Leaf for Vector Mechanics for Engineers: Statics
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- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L