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

  • Option 1)

    K+ K2

  • Option 2)

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

  • Option 3)

    K- K2

  • Option 4)

    \frac{K_{1}K_{2}}{K_{1} - K_{2}}

 

Answers (1)

When external force is appiled, one spring gets extended and another one gets contracted by same distance. Hence, due to two springs act in same same direction. i. e.

F = F_{1} + F_{2} \Rightarrow -kx = k_{1}x - k_{2}x \Rightarrow k = k_{1} + k_{2}

 

Series combination of spring -

- wherein

\frac{1}{K_{eq}}= \frac{1}{K_{1}}+ \frac{1}{K_{2}}

K_{1}and\ K_{2} are spring constants of spring 1 & 2 respectively.

 

 

 


Option 1)

K+ K2

This is correct.

Option 2)

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

This is incorrect.

Option 3)

K- K2

This is incorrect.

Option 4)

\frac{K_{1}K_{2}}{K_{1} - K_{2}}

This is incorrect.

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Vakul

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