Objects in equilibrium beam problem

Problem: A uniform beam of length 4 m and mass 10 kg, connected to the side of a building by a pivot hinge, supports a 20-kg light fixture,as shown in figure 4.43. Determine the tension in the wire and the components of the reaction force at the pivot.Attachment 68727

Equations: sum of forces =0
Sum of torques=0

Attempt at problem: Since the sum of the torques must be zero the torque of the cable must be equal to the torque of the weights of both objects so T( 4 cos 45)= 20( 3 cos 45) + 98( cos 45). Where T is the tension in the rope. The correct answer is T= 160


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