Question

Two identical springs are connected in series and parallel. If f_s andf_p are frequencies of arrangements, what is f_s/f_p ?
1:2

2:1

1:3

3:1

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Answer 1

Answer:

1:2

Explanation:

In series effective K is K/2

In parallel effective K is 2*K

Frequency is proportional to $\sqrt{K$

Hence,

Fs $\alpha$ $\sqrt{\frac{K}{2} }$

Fp $\alpha$ $\sqrt{2K}$

Therefore their ratio is,

$\frac{Fs}{Fy} = \frac{1}{2}$