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In the figure, a uniform beam with a weight of 53.4 N and a length of 3.21 m is

ID: 2263842 • Letter: I

Question

In the figure, a uniform beam with a weight of 53.4 N and a length of 3.21 m is hinged at its lower end, and a horizontal force of magnitude 41.8 N acts at its upper end. The beam is held vertical by a cable that makes angle ? = 29.1

In the figure, a uniform beam with a weight of 53.4 N and a length of 3.21 m is hinged at its lower end, and a horizontal force of magnitude 41.8 N acts at its upper end. The beam is held vertical by a cable that makes angle ? = 29.1 degree with the ground and is attached to the beam at height h = 2.42 m. What are (a) the tension in the cable, (b) the x-component of the force on the beam from the hinge, and (c) the y-component of the force on the beam from the hinge. Hint:Did you write a balance-of-torques equation, using the hinge as the rotation axis about which to calculate torques? (Did you recall how to calculate a torque from a force's magnitude and direction?) Did you write a balance-of-forces equation for vertical force components? For horizontal force components? http://edugen.wileyplus.com/edugen/courses/crs4957/art/qb/qu/c12/fig12_70.gif

Explanation / Answer

Draw an horizontal line at the point where the cable attaches to the beam and Resolve the Tensionhorizontally....that gives you TCos25