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12 June, 10:41

What force must be applied to each end of the rod to prevent it from contracting when it is cooled from 120 ∘c to 10 ∘c?

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  1. 12 June, 11:04
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    Linear thermal expansion coef brass 19e-6 / K

    ∆L = αL∆T = (19e-6) (1.85) (110) = 0.00387 meter or 3.87 mm

    Second part involves linear elasticity.

    for brass, young's modulus is 15e6 psi or 100 GPa

    cross-sectional area of rod is π (0.008) ² = 0.0002 m²

    F = EA∆L/L

    F = (100e9) (0.0002) (0.00387) / (1.85)

    F = 42000 or 42 kN
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