为何长的橡皮筋比短的橡皮筋更容易拉伸?

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应力-应变关系(小变形下,胡克定律)

σ = E ε

力与伸长量的关系

F = σA = AE ε = AE Δd/L

则伸长量

Δd = FL/EA

因此,同样的力作用下,橡皮筋越长,即L越大,则伸长量Δd 越大


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