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14 June, 07:41

At the bow of a ship on a stormy sea, a crewman conducts an experiment by standing on a bathroom scale. In calm waters, the scale reads 183 lb. During the storm, the crewman finds a maximum reading of 230 lb and a minimum reading of 138 lb. A. Find the maximum upward acceleration experienced by the crewman

B. Find the maximum downward acceleration experienced by the crewman

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  1. 14 June, 08:04
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    In calm water there is no acceleration so reading

    R = mg = 183

    m = 183 / 32

    At maximum upward acceleration reading

    R₁ = mg + ma

    = 183 + (183 / 32) x a

    230 = 183 + (183 / 32) x a

    a = 8.22 ft / s²

    B)

    In case of downward acceleration, reading

    R₂ = mg - ma

    138 = 183 - (183/32) a

    a = 7.87 m / s²
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