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Description of Equilibrium

I need help with these two question on moments and equilibrium:
1. In the figure, a 6.00-m-long, uniform beam is hanging from a point 1.00 m to the right of its center. The beam weighs 140N and makes an angle of 30.0 degrees with the vertical. At the right-hand end of the beam a 100-N weight is hung; an unknown weight w hangs at the other end. If the system is in equilibrium, what is w? (You can ignore the thickness of the beam)

2. If the beam makes, instead, an angle of 45.0 degrees with the vertical, what is w?

(See attached file for full problem description with diagram)


Solution Summary

This solution contains annotated diagrams and step-by-step calculations and explanations to determine 'w' in the system's equilibrium and also when the beam is at 45 degrees with the vertical.