How Do You Calculate Tension in a Cable and Hinge Force in a Beam System?

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The discussion focuses on calculating the tension (T) in a cable and the hinge force in a beam system involving a 430kg mass and an 85kg uniform beam. The beam is supported by a horizontal cable measuring 2.5m and anchored 1.9m apart. Participants emphasize the importance of using torque equations, specifically the relationship between torque (τ = r × F), where only forces acting perpendicular to the distance contribute to torque. The solution involves balancing the torques created by the weights of the masses with the torque generated by the tension in the cable.

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The mass (M) is 430kg and is hanging from a rope (second vertical line). The distance between the anchor points is 1.9m (the length of the first vertical line) and the horizontal support cable (horizontal line) is 2.5m long. The uniform beam has a mass of 85kg (the diagonal line) and if the mass of the cable can be ignored, find T the tension force in the cable and the force of the hinge on the beam. (dots are insignificant just typed them to avoid the reformatting of the diagram once submitted).

Can anyone show me how to solve this, I have no idea where to start since we only had three classes on torques and I missed two.
 
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torque is equal to rXF where r is the distance from the point and f is the force acting at that distance. it should be known that only the force acting perpendicular to the distance affects torque hence the cross product. in the problem you have you have 2 downward masses(one at the center of mass for the beam and the other at the end of the beam) so you find the torques of these and counteract them with the torque created by the tension of the cable
 

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