A copper wire of length 1.80 m and diameter 0.80 mm is suspended from two points, 1.0 m apart and at the same horizontal level. A load of 2.5 kg is hung from the centre of the wire. The wire makes an angle 0 to the vertical at point P and experiences a force F as shown in the diagram below. THIS DIAGRAM IS NOT SHOWN TO SCALE

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter9: Moments And Products Of Inertia Of Areas
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A copper wire of length 1.80 m and diameter 0.80 mm is suspended from two
points, 1.0 m apart and at the same horizontal level. A load of 2.5 kg is hung
from the centre of the wire.
The wire makes an angle 8 to the vertical at point P and experiences a force F
as shown in the diagram below.
THIS DIAGRAM IS NOT SHOWN TO SCALE
i.
0.9 m
ii.
0.5 m
F
Ꮎ : Ꮎ
0.5 m
F
0.9 m
Calculate the angle with which each part of the wire makes with the
vertical at the point where the load is hung.
Determine the stress in the wire.
iii. Determine the strain in the wire.
m = 2.5 kg
(Young's modulus for copper = 1.17 x 10¹¹ Pa)
iv. Determine the extension produced in the wire by this strain.
Transcribed Image Text:A copper wire of length 1.80 m and diameter 0.80 mm is suspended from two points, 1.0 m apart and at the same horizontal level. A load of 2.5 kg is hung from the centre of the wire. The wire makes an angle 8 to the vertical at point P and experiences a force F as shown in the diagram below. THIS DIAGRAM IS NOT SHOWN TO SCALE i. 0.9 m ii. 0.5 m F Ꮎ : Ꮎ 0.5 m F 0.9 m Calculate the angle with which each part of the wire makes with the vertical at the point where the load is hung. Determine the stress in the wire. iii. Determine the strain in the wire. m = 2.5 kg (Young's modulus for copper = 1.17 x 10¹¹ Pa) iv. Determine the extension produced in the wire by this strain.
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