Question:
Suppose the ceiling in the previous problem is that of an elevator which is going up with an acceleration of $2.0 \mathrm{~m} / \mathrm{s}^{2}$. Find the elongations.
Solution:
$-k x=2\left(a_{0}+g\right)$
$=2(2+g)$
$x=\frac{-2(2+g)}{k}=\frac{-2(2+9.8)}{100}=-0.236 \mathrm{~m}$
$-k x^{\prime}=3\left(a_{0}+g\right)$
$=3(2+g)$
$x^{\prime}=\frac{-3(2+g)}{k}=\frac{-3(2+9.8)}{100}=-0.36 m$
$x^{\prime}-x=0.36-0.24 m=0.12 m$
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