Question

If two springs of stiffness $k_{1}and{k}_2$ are connnected in series, the stiffness of the combined spring is

• A. $\frac{k_1{k}_2}{k_1+k_2}$
• B. $\frac{k_1+k_2}{k_1{k}_2}$
• C. $k_1+k_2$
• D. $k_1{k}_2$

Answer 1

The correct option is A $\frac{k_1{k}_2}{k_1+k_2}$

For series combination of springs,

$\frac{1}{k}=\frac{1}{k_1}+\frac{1}{k_2}$

$\therefore$ $k=\frac{k_1\times k_2}{k_1+k_2}$