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moose726
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Homework Statement
One end of a uniform beam weighing 288 N and 3.12 feet long is attached to a wall with a hinge. The other end is supported by a wire making equal angles of 30° with the beam and wall.
(a) Find the tension in the wire.
(b) What is the horizontal component of the force of the hinge on the beam?
(c)What is the vertical component of the force of the hinge on the beam?
Homework Equations
[tex]\Sigma[/tex]F=0
[tex]\Sigma[/tex][tex]Torque[/tex]=0
The Attempt at a Solution
I drew a free body diagram of the beam and the components of the forces from tension and the hinge. From this I got four equations:
[tex]\Sigma[/tex]Fx = Fx-Tx = 0
[tex]\Sigma[/tex]Fy = Fy+Ty-mg = 0
[tex]\Sigma[/tex] Torque = 118.5+.4754Tx-.823Ty=0 (T is tension, this torque is with the hinge as the origin.)
Fy=Fxtan(30)
I'm not sure how to solve for each variable with these equations.