The pole in the figure is at a 90° bend in a power line and is therefore T. ubjected to more shear force than poles in straight parts of the line. The tension in the two wires at he top of the pole is 3.9 × 104 N, and both wires are at an angle of 80° with respect to the pole. The ole is 13 m tall, has an 18.5 cm diameter and can be considered to have half the strength of ardwood (hardwood has a Young's modulus of 1.5 × 1010 N/m² and a shear modulus of 1 × 1010 N/m²). 90° 80° 30 Part (a) First ignore the guy wire (Tgw). Calculate the compression of the pole, in millimeters. Part (b) Still ignoring the guy wire, Find how much it bends in mm to the right. Part (c) Now find the tension in the guy wire used to keep the pole straight if it is attached to the top of the pole at an angle of 30° with the ver

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter14: Static Equilibrium, Elasticity, And Fracture
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Problem 41PQ: In Example 14.3, we found that one of the steel cables supporting an airplane at the Udvar-Hazy...
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The pole in the figure is at a 90° bend in a power line and is therefore
subjected to more shear force than poles in straight parts of the line. The tension in the two wires at
the top of the pole is 3.9 x 104 N, and both wires are at an angle of 80° with respect to the pole. The
pole is 13 m tall, has an 18.5 cm diameter and can be considered to have half the strength of
hardwood (hardwood has a Young's modulus of 1.5 × 1010 N/m² and a shear modulus of 1 × 1010
N/m2).
90
80°
30
Part (a) First ignore the guy wire (Tew). Calculate the compression of the pole, in millimeters.
Part (b) Still ignoring the guy wire, Find how much it bends in mm to the right.
Part (c) Now find the tension in the guy wire used to keep the pole straight if it is attached to the top of the pole at an angle of 30° with the vertical
in Newtons. (The guy wire must be in the opposite direction of the bend.)
Transcribed Image Text:The pole in the figure is at a 90° bend in a power line and is therefore subjected to more shear force than poles in straight parts of the line. The tension in the two wires at the top of the pole is 3.9 x 104 N, and both wires are at an angle of 80° with respect to the pole. The pole is 13 m tall, has an 18.5 cm diameter and can be considered to have half the strength of hardwood (hardwood has a Young's modulus of 1.5 × 1010 N/m² and a shear modulus of 1 × 1010 N/m2). 90 80° 30 Part (a) First ignore the guy wire (Tew). Calculate the compression of the pole, in millimeters. Part (b) Still ignoring the guy wire, Find how much it bends in mm to the right. Part (c) Now find the tension in the guy wire used to keep the pole straight if it is attached to the top of the pole at an angle of 30° with the vertical in Newtons. (The guy wire must be in the opposite direction of the bend.)
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