A beam is connected to the floor by a hinge. A rope is attached to the other end of the beam. The other end of the rope is connected to the ceiling. There is box sitting on the beam (see figure). The angle between the beam and the floor is 8.80 degrees. The angle between the rope and the horizontal is 25.0 degrees. The beam is 3.70-m long and has a mass of 4.40 kg. The box sits a distance of d = 0.890 m from the upper end of the beam and has a mass of 8.50 kg. The tension in the rope is 150.7 N. What is the vertical component of the force on the beam due to the hinge?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 31PQ: A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm...
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A beam is connected to the floor by a hinge. A rope is attached to the other end of the beam. The other end of the rope is connected to the ceiling. There is box sitting on the beam (see figure).
The angle between the beam and the floor is 8.80 degrees. The angle between the rope and the horizontal is 25.0 degrees. The beam is 3.70-m long and has a mass of 4.40 kg. The box sits a distance of d = 0.890 m from the upper end of the beam and has a mass of 8.50 kg. The tension in the rope is 150.7 N.
What is the vertical component of the force on the beam due to the hinge? 

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