Statics Problem, tension in crane

AI Thread Summary
The discussion focuses on a statics problem involving a crane rig that supports a horizontal member weighing 1000 lbs and lifts an additional 3000 lbs. The key equations for solving the problem involve the sum of moments and forces in both the x and y directions, which must equal zero due to equilibrium. Participants emphasize the importance of visual aids, like diagrams, to clarify the setup and calculations. The main objectives are to determine the tension in the cable and the reaction components at point B. The conversation highlights the necessity of applying fundamental statics principles to arrive at the solution.
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Homework Statement



The horizontal member ABC of the rig shown below weighs 1000 lbs and is supported by a pin B and cable EADC. Since the cable passes over pulleys at A and D, the tension is the same along the entire length of the cable. If the rig lifts 3000 lbs at a distance 12 feet from the vertical member DF, determine
a) the tension in the cable, and
b) the horizontal and vertical components of the reaction at B.



Homework Equations





The Attempt at a Solution



I know you have to use the sum of the moments in both x and y directions = 0 because it is in equilibrium, but I am not sure where to go from there
 
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Might help to post the picture. The two rules of statics are:

1. Sum of moments about any point must be zero

2. Sum of all forces in any direction must be zero (normally it's convenient to use coordinate directions)
 
Heres a photo, sorry about that
 

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