Find Tension & Reaction Force for Bar with 600N Force Applied at 30 Degrees

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The discussion focuses on calculating the tension in a rope and the reaction forces at point B for a bar subjected to a 600 N force at a 30-degree angle. The tension is determined to be 386 lb, with the components at point B calculated as Bx = 493 lb and By = 186 lb. Participants suggest using moment summation about points A and B to solve for the unknown tension and reaction forces. The relationship between the vertical component of the tension and the overall tension is emphasized as crucial for completing the calculations. Accurate tension and reaction force values are essential for understanding the system's stability.
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Tension = 386lb
Bx = 493lb
By = 186lb

I am having trouble trying to determine the tension in the picture. And the x and y component of B

i have a long bar that is 14 feet long. it is connected at 1 end at point B to a pin support and the other end is tied to a rope at point a.point a the rope has a angle of 30 degrees off of vertical. then i have a downward force of 600 N 30 degrees of the vertical 9 feet away from point B. how do i find the tension in the rope ?

the componets of the 600n force are as follows
-600sin30 = -300
-600cos30 = -519.615
if the rope is 5 feet from these componets how would i find the tension ? and what would be the reaction on point B ?

reaction of By = (-600cos30*5ft)/14ft = 185.6lb = 186lb
how do you find Bx and the tension at rope ?
 
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Does anyone know how to find the answers ?
 

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You determined By apparently by summing moments about A (unless you did it by trial and error). Now sum moments about B to determine Ay (the vertical component of the tension). Or sum the Fy forces = 0 to get Ay. The horizontal forces and rope tension can then be found. How is the rope tension and its vertical component related?
 
The forces are yet unknown at two points, namely tension T at A and reactions at B.
Take moments about B to find the tension T of the rope.
Once T is know, summing forces in X and Y will give you everything you need to know for the reaction at B.
 
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