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 F of magnitu

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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 F Of Magnitu 1 (99.07 KiB) Viewed 31 times

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 F of magnitude 50 N acts at its upper end. The beam is held vertical by a cable that makes angle θ=25∘ with the ground and is attached to the beam at height h=1.5 m. (a) [2 marks] Draw a free-body diagram for the beam, clearly showing all of the forces acting on the beam. (b) [4 marks] What are the equations for the equilibrium of forces acting on the beam in the horizontal and vertical directions, respectively? (c) [2 marks] Write down the equation for equilibrium of torques on the beam, about the hinge. (d) [2 marks] Calculate the tension in the cable.