A 20.0-kg floodlight in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole as shown in the figure below. A cable at an angle of 30.0 degrees with the beam helps support the light. (a) Draw a force diagram for the beam. By computing torques about an axis at the hinge at the lefthand end of the beam, find (b) the tension in the cable, (c) the horizontal component of the force exerted by the pole on the beam,
A 20.0-kg floodlight in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole as shown in the figure below. A cable at an angle of 30.0 degrees with the beam helps support the light. (a) Draw a force diagram for the beam. By computing torques about an axis at the hinge at the lefthand end of the beam, find (b) the tension in the cable, (c) the horizontal component of the force exerted by the pole on the beam, and (d) the vertical component of this force. Now solve the same problem from the force diagram from part (a) by computing torques around the junction between the cable and the beam at the right-hand end of the beam. Find (e) the vertical component of the force exerted by the pole on the beam, (f) the tension in the cable, and (g) the horizontal component of the force exerted by the pole on the beam. (h) Compare the solution to parts (b) through (d) with the solution to parts (e) through (g). Is either solution more accurate?
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