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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Center of Gravity of a system

The centre of gravity is a property that is based on the geometry of a rigid body or any particle. It is described as an equilibrium point or a hypothetical location where the total weight of the body is concentrated.