Solve Equilibrium Problem: Two Uniform Beams, Hinge & Chain

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SUMMARY

The forum discussion focuses on solving an equilibrium problem involving two uniform beams connected by a hinge and a chain. Participants analyze the forces acting on the system, specifically calculating the tension in the chain, the forces on the hinge, and the ground reaction forces. Key equations utilized include the sum of forces and the sum of torques, leading to the formulation of tension as T = Fx - W. The discussion highlights the importance of accurately applying torque equations to derive the correct relationships between the forces involved.

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Homework Statement


[PLAIN]http://img820.imageshack.us/img820/3505/23625990.jpg

Two uniform beams, each of mass M and length L, are connected by a hinge at the top and by a chain of negligible mass attached between their centers. The system will stand upright on a frictionless surface as shown in the figure. Determine (a) the tension in the chain, (b) the force on the hinge by each plank, (c) the force of the ground on each plank, as a function of the length of the chain, l.

Homework Equations



My force diagram.

[PLAIN]http://img440.imageshack.us/img440/2272/98244983.jpg

Sum of F = 0
Sum of Torque = 0

Torque = (-T sinθ L ) + (-W cos θ L) + (Fx sin θ L) = 0

FxsinθL - WsinθL / sin θL = Tension is this right?

if this is right I will attempt part b.

The Attempt at a Solution

Homework Statement


Homework Equations


The Attempt at a Solution


Homework Statement


Homework Equations


The Attempt at a Solution

 
Last edited by a moderator:
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FxsinθL - WcosθL / sin θL = Tension

edit: FxsinθL - WsinθL / sin θL = Tension

then it will simplfy as ,

T = Fx-W = Tension... now it doesn't even seem right
 

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