First slide

Applications of SHM

Question

What will be the force constant of the spring system shown in the figure

Moderate

A

$\frac{K_{1}}{2} + K_{2}$
B

${[\frac{1}{2 K_{1}} + \frac{1}{K_{2}}]}^{- 1}$
C

$\frac{1}{2 K_{1}} + \frac{1}{K_{2}}$
D

${[\frac{2}{K_{1}} + \frac{1}{K_{1}}]}^{- 1}$

Solution

In series combination $\frac{1}{k_{S}} = \frac{1}{2 k_{1}} + \frac{1}{k_{2}} \Rightarrow k_{S} = {[\frac{1}{2 k_{1}} + \frac{1}{k_{2}}]}^{- 1}$

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