The mast of a sailboat has a cross-sectional area of 10.65 cm2 and is constructed of an experimental aluminum alloy. Tests were performed to define the relationship between stress and strain. The test results are
Strain,cm/cm | 0.0032 | 0.0045 | 0.0055 | 0.0016 | 0.0085 | 0.0005 |
Stress,N/cm2 | 4970 | 5170 | 5500 | 3590 | 6900 | 1240 |
The stress caused by wind can be computed as F/Ac where F = force in the mast and Ac = mast's cross-sectional area. This value can then be substituted into Hooke's law to determine the mast's deflection, ΔL = strain x L, where L = the mast's length. If the wind force is 25,000 N, use the data to estimate the deflection of a 9-m mast.
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