Question

HYS1800 A & B - Engineering Mechanics (Fall 2019-2020) My courses / SC/PHYS1800 A & B - Engineering Mechanics (Fall 2019-2020) / Oscillations and Waves and Gravitation / Assignment 8 of A steel wire is stretched between two buildings which are 175 m apart as in the figure below. The steel wire (Y 193GPa has a radius of 0.40 cm when not stretched. A display sign of mass 75.1 kg is hung on the wire in the middle. The wire makes an angle of 6.0" with respect to the horizontal How much has the wire been stretched? Present your numerical answer in millimetres (mm) and do not include units in the answer (Note that the wire made about a 6.0 degree angle even when the person was not hanging) No sign With sign

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Answer 1

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O TRin 6 T AT sing T Tsin6 + Tsin6-m Tcos6 2T sim 6 Tas 6 27 sin 6751) (98) T 3S20.47657 (L.) the unstretchedl length ot toire L Cast 17.S 17.5964 m Lo Cosb T (o4) x loo) Area af the wire, A m2 S.0265 X10 A = (Ta) ALO TLo Stress Strain Yo unge Moculus AAL (25204 765) (7.s964) 5.0215416 L) =193x10 6.38 55 mm AL 6.3855 A10