M In the Figure above, the horizontal beam (open rectangle) is uniform, has a mass of 50 kg and a length of 3 m. It is attached to the vertical wall on the left (solid rectangle) by a hinge (small red circle). The beam is held horizontal by a rope (orange) fixed to the wall and the end of the beam, with the rope at an angle of 45 degrees to the horizontal. A mass M of 75 kg hangs from the end of the beam. Calculate the tension in the rope, and the horizontal and vertical components of the force exerted by the hinge on the beam.

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In the Figure above, the horizontal beam (open rectangle) is uniform, has a mass of 50 kg
and a length of 3 m. It is attached to the vertical wall on the left (solid rectangle) by a hinge
(small red circle). The beam is held horizontal by a rope (orange) fixed to the wall and the
end of the beam, with the rope at an angle of 45 degrees to the horizontal. A mass M of
75 kg hangs from the end of the beam.
Calculate the tension in the rope, and the horizontal and vertical components of the force
exerted by the hinge on the beam.
Transcribed Image Text:M In the Figure above, the horizontal beam (open rectangle) is uniform, has a mass of 50 kg and a length of 3 m. It is attached to the vertical wall on the left (solid rectangle) by a hinge (small red circle). The beam is held horizontal by a rope (orange) fixed to the wall and the end of the beam, with the rope at an angle of 45 degrees to the horizontal. A mass M of 75 kg hangs from the end of the beam. Calculate the tension in the rope, and the horizontal and vertical components of the force exerted by the hinge on the beam.
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