consider the effect of wires hung on poles, we take data from Example 4.8, in which tensions in wires supporting a traffic light were calculated. The left wire made an angle 30.0º below the horizontal with the top of its pole and carried a tension of 108 N. The 12.0 m tall hollow aluminum pole is equivalent in stiffness to a 4.50 cm diameter solid cylinder. (a) How far is it bent to the side? (b) By how much is it compressed?
Step-by-step solution Step 1 of 5 The radius of the pole Step 2 of 5 The cross-section area of the pole Step 3 of 5 o (a) The wire hung to the pole is pulling the pole to the left at an angle of 30 with horizontal. The force exerted by the wire The angle between horizontal and the force Perpendicular component of force to the pole Step 3 of 5 The perpendicular force acting on the pole causes shear deformation. The initial length of the pole The shear modulus of the pole The shear force The cross-section area The deformation of the disc Hence, the shear deformation in the pole is .
