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  • Solve it, The frequency of oscillation of the springs shown in the figure will be

The frequency of oscillation of the springs shown in the figure will be

  • Option 1)

    \frac{1}{2\pi}\sqrt{\frac{k}{m}}

  • Option 2)

    \frac{1}{2\pi}\sqrt{\frac{(k_{1} + k_{2})m}{k_{1}k_{2}}}

  • Option 3)

    {2\pi}\sqrt{\frac{k}{m}}

  • Option 4)

    \frac{1}{2\pi}\sqrt{\frac{k_{1}k_{2}}{(k_{1} + k_{2})m}}

 

Answers (1)

best_answer

n = \frac{1}{2\pi}\sqrt{\frac{K_{eq}}{m}} = \frac{1}{2\pi}\sqrt{\frac{k_{1}k_{2}}{m(k_{1}+k_{2})}}

 

Parallel combination of spring -

- wherein

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

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

 

 

 


Option 1)

\frac{1}{2\pi}\sqrt{\frac{k}{m}}

This is incorrect.

Option 2)

\frac{1}{2\pi}\sqrt{\frac{(k_{1} + k_{2})m}{k_{1}k_{2}}}

This is incorrect.

Option 3)

{2\pi}\sqrt{\frac{k}{m}}

This is incorrect.

Option 4)

\frac{1}{2\pi}\sqrt{\frac{k_{1}k_{2}}{(k_{1} + k_{2})m}}

This is correct.

Posted by

Aadil

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