A uniform beam with a mass of 7 kg and a length of 2.8 m is hinged at its lower end, and a horizontal force of magnitude 50 N acts at its upper end. The beam is held vertical by a cable that makes angle = 25° with the ground and is attached to the beam at height h=1.5 m. Draw a free-body diagram for the beam, clearly showing all of the forces acting on the beam. What are the equations for the equilibrium of forces acting on the beam in the horizontal and vertical directions, respectively? Write down the equation for equilibrium of torques on the beam, about the hinge.

A uniform beam with a mass of 7 kg and a length of 2.8 m is hinged at its lower end, and a horizontal force of magnitude 50 N acts at its upper end. The beam is held vertical by a cable that makes angle = 25° with the ground and is attached to the beam at height h=1.5 m. Draw a free-body diagram for the beam, clearly showing all of the forces acting on the beam. What are the equations for the equilibrium of forces acting on the beam in the horizontal and vertical directions, respectively? Write down the equation for equilibrium of torques on the beam, about the hinge.