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)
V Vakul

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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