Torque Equilibrium and Elasticity problem

AI Thread Summary
The discussion revolves around a physics problem involving a nonuniform boom, a suspended block, and the calculation of tension in a cable as well as the force components at the pivot. The user initially calculated torques and attempted to find the tension using the equilibrium of forces but arrived at an incorrect answer. A response emphasizes the importance of distinguishing between the tension in the cable and the forces at the pivot, suggesting that the user should provide detailed calculations for clarity. The conversation highlights the need for careful analysis of forces and torques in static equilibrium problems. Accurate calculations are crucial for determining the correct values in such scenarios.
Elysian
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Homework Statement


A 300 kg nonuniform boom, 6.0 m long, is loosely pinned at the pivot at P. A 1000 kg
block is suspended from the end of the boom at A. The boom forms a 30° angle with
the horizontal, and is supported by a cable, 4.0 m long, between points D and B. Point
B is 4.0 m from P, and point D is 4.0 m above P. The center of mass of the boom is at
point C, which is 2.0 m from P. Find the tension in the cable, and the x- and
y-components of the force of the pivot on the boom.

http://img202.imageshack.us/img202/262/50669209.jpg

Homework Equations





The Attempt at a Solution



I calculated torques clockwise and counterclockwise and set them equal to each other, which are perpendicular so using the weight I solved for the Force perpindicular

(Fw(rod)*cos(30)*2)+(Fw(block)*cos(30)*6) = Ftcos(30)*4,

this gives me the Force of tension in the rope, from which i use to split into its X and Y components, and then I get the incorrect answer.

any help would be appreciated, thanks in advance
 
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Hi Elysian,
You get the force of friction from your equation.
The next question is the x and y components of the force of the pivot. That force is not the same as the tension. Show your work in detail.

ehild
 
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