Concept explainers
Knowing that the tension is 425 lb in cable AB and 510 lb in cable AC, determine the magnitude and direction of the resultant of the forces exerted at A by the two cables.
Fig. P2.93 and P2.94
The direction and magnitude of the resultant forces exerted at
Answer to Problem 2.93P
The direction and magnitude of the resultant forces exerted at
Explanation of Solution
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 P2.93.
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.P2.93 and calculate the vector coordinates of the vector
Substitute
Substitute
Substitute
Substitute
Refer Fig.P2.93 and calculate the vector coordinates of the vector
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, the direction and magnitude of the resultant forces exerted at
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Chapter 2 Solutions
Connect 2 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics
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