Two springs of spring constants ( k\_1 ) and ( k\_2) are joi... | Physics | SolveeIt | Solveeit

Today, August 18

Question

Two springs of spring constants $k_1$ and $k_2$ are joined in series. The effective spring constant of the combination is given by

A

$\sqrt{ k_1 k_2}$

B

$(k_1 + k_2) / 2$

C

$k_1 + k_2$

D

$k_1 k_2 / (k_1 + k_2)$

Answer

$k_1 k_2 / (k_1 + k_2)$

Explanation

Solution

In series $\frac{1}{ k _{ eff }}=\frac{1}{ k _{1}}+\frac{1}{ k _{2}}+\ldots$