First slide

Applications of SHM

Question

The effective spring constant of two spring system as shown in figure will be

Moderate

A

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

$K_{1} K_{2} / K_{1} + K_{2}$
C

$K_{1} - K_{2}$
D

$K_{1} K_{2} / K_{1} - K_{2}$

Solution

When external force is applied, one spring gets extended and another one gets contracted by the same distance hence force due to two springs act in same direction.
i.e. $F = F_{1} + F_{2} \Rightarrow - kx = - k_{1} x - k_{2} x \Rightarrow k = k_{1} + k_{2}$

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