How Do You Calculate Torque in a Beam Suspended by a Rope?

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To calculate the unknown mass attached to the beam, start by applying the principle of static equilibrium, which states that the sum of all forces and torques must equal zero. Given the beam's mass of 10.0 kg and the attached mass of 40.0 kg, along with the tension in the rope at 637 N, set up the torque equation around the pivot point where the rope is attached. The torques from the weights of the beam and the attached masses must balance the torque created by the tension in the rope. After establishing the equations, solve for the unknown mass using the known values and ensuring all forces and torques are accounted for. This method will yield the correct value for the unknown mass.
mcdelilah
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Hi,

May someone please help me with this problem because there seems to be something that I am missing. I know that I am suppose to get the sum of all the external forces, and then set them to zero. Well, after my calculations, I am still wrong. The question is:

A beam of mass mb = 10.0 kg, is suspended from the ceiling by a single rope. It has a mass of m2 = 40.0 kg attached at one end and an unknown mass m1 attached at the other. The beam has a length of L = 3 m, it is in static equilibrium, and it is horizontal. The tension in the rope is T = 637 N.
 
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I assume the problem is to find the unknown mass? Using the fact that the sum of the forces is zero is the correct approach. Show what you did and we can take a look.
 
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