1. The guy wire is connected D = 1.31m from the backboard. Find the tension in t
ID: 1291685 • Letter: 1
Question
1. The guy wire is connected D = 1.31m from the backboard. Find the tension in the guy wire. Assume theta = 38.8o
2. Find the horizontal force exerted by the hinge on the beam.
3. Find the vertical force exerted by the hinge on the beam. Use "up" as the positive direction.
A shop sign weighing 212N is supported by a uniform 129N beam of length L = 1.82m as shown in figure below. 1. The guy wire is connected D = 1.31m from the backboard. Find the tension in the guy wire. Assume theta = 38.8 degree 2. Find the horizontal force exerted by the hinge on the beam. 3. Find the vertical force exerted by the hinge on the beam. Use up as the positive direction.Explanation / Answer
balancing torque about hinge
212 *L + 129*L/2 = T*Sinthetha *D
212*1.82 + 129 *1.82/2 = T*sin38.8 *1.31
T = 613.05 N
Horizontal force = Tcos38.8
= 477.78 N
Vertical force = Tsin38.8
= 384.15 N
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