For the plate of Prob. 2.89; determine the tensions in cables AB and AD knowing that the tension in cable AC is 54 N and that the resultant of the forces exerted by the three cables at A must be vertical.
The tensions in cables
Answer to Problem 2.96P
The tensions in cables
Explanation of Solution
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 to find the magnitude of the vector
Write the equation to find the unit vector along
Write the equation of
Here,
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 to find the resultant of the forces exerted by the three cables at
Conclusion:
Refer Fig.P2.89 and calculate the vector coordinates of the vector
Substitute
Substitute
Substitute
Refer Fig.P2.89 and calculate the vector coordinates of the vector
Substitute
Substitute
Substitute
Refer Fig.P2.89 and calculate the vector coordinates of the vector
Substitute
Substitute
Substitute
Substitute
Substitute
Multiply the equation (XI) by
Multiply the equation (XI1) by
Add the equations (XIII) and (IX).
Substitute
Therefore, the tensions in cables
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Chapter 2 Solutions
Vector Mechanics for Engineers: Statics
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- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L