- #1

qnney

- 10

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**URGENT! Boom problem using rotational equilibrium methods**

Hi!

Here is a picture of the problem I'm about to explain... http://i96.photobucket.com/albums/l168/synovial/boom.jpg

My professor did not give us numbers to use, just variables.

The goal of the problem is to find the 3 unknowns: T, V, and H. The given variables are the entire length of the boom (L--not pictured), mass of the boom, mass of the load, [tex]\Theta[/tex],

*x*, and p.

The rope is connected to distance

*x*from the end. The load hangs at distance p from the end. The boom's center of gravity is in the middle.

I know that I am supposed to find all of the forces in the X and Y directions, but I can't seem to calculate the torques correctly.

[tex]\Sigma[/tex]F

_{x}= 0

0 = H -Tcos[tex]\Theta[/tex]

[tex]\Sigma[/tex]F

_{y}= 0

0 = V + Tsin[tex]\Theta[/tex]-W

_{boom}-W

_{load}

[tex]\Sigma[/tex][tex]\tau[/tex]F

_{a}= 0

0 = [tex]\tau[/tex]

_{T perpindicular}+ [tex]\tau[/tex]

_{V}+ [tex]\tau[/tex]

_{H}+ [tex]\tau[/tex]

_{W boom}+ [tex]\tau[/tex]

_{W load}

Can someone please help me? Thanks!