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  4. In the figure three identical springs are shown. From spring A, a mass of 4 kg is hung and spring shows elongation of 1 cm. But when a weight of 6 kg is hung on B, the hook descends through

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Q. In the figure three identical springs are shown. From spring $A$, a mass of $4\, kg$ is hung and spring shows elongation of $1\, cm$. But when a weight of $6 \,kg$ is hung on $B$, the hook descends throughPhysics Question Image

Mechanical Properties of Solids

Solution:

As, $x=\frac{r}{k}$
If spring constant is $k$ for the first case, it is $\frac{k}{2}$ for second case.
For first case, $1=\frac{4}{k}$ ... (i)
For second case, $x'=\frac{6}{k / 2}=\frac{12}{k}$ ... (ii)
Dividing Eq. (ii) by Eq. (i), we get
$x'=\frac{12 / k}{4 / k}=3 \,cm$