A 24.0-kg floodlight in a park is supported at the end of a horizontal beam of n

Question

A 24.0-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 theta = 28.0 degree with the beam helps support the light. Draw a force diagram for the beam. Choose File No file chosen This answer has not been graded yet. By computing torques about an axis at the hinge at the left-hand end of the beam, find the tension in the cable. Find the horizontal component of the force exerted by the pole on the beam. Find 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 the vertical component of the force exerted by the pole on the beam. Find the tension in the cable. Find the horizontal component of the force exerted by the pole on the beam. Compare the solution to parts (b) through (d) with the solution to parts (e) through (g). Is either solution more accurate? Solution using torque about hinge is less accurate. Both solutions are equally accurate. Solution using torque about hinge is more accurate.

Explanation / Answer

b) Sum torque about the hinge 24*g*L=T*sin28*L ====> T=24*g/sin28 = 501 N

c) and d) The hinge has Fx=T*cos28 ====> Fx=24*g/tan28 = 442.35 N

Sum forces in the y ===> Fy=24*g-T*sin28 = 0

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