As shown in the figure, a block of mass m is hung from the ceiling...

As shown in the figure, a block of mass

m

is hung from the ceiling by the system of springs consisting of two layers. The force constant of each of the springs is k . The frequency of the vertical oscillations of the block is As shown in the figure, a block of mass m is hung from the ceiling by the system of springs consisting of two layers.

As shown in the figure, a block of mass m is hung from the ceiling by the system of springs consisting of two layers.

Options

A $\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}}{5 \mathrm{~m}}}$
B $\frac{1}{2 \pi} \sqrt{\frac{4 \mathrm{k}}{5 \mathrm{~m}}}$
C $\frac{1}{2 \pi} \sqrt{\frac{5 \mathrm{k}}{6 \mathrm{~m}}}$
D $\frac{1}{2 \pi} \sqrt{\frac{6 \mathrm{k}}{5 \mathrm{~m}}}$

Correct answer

D. $\frac{1}{2 \pi} \sqrt{\frac{6 \mathrm{k}}{5 \mathrm{~m}}}$

Step-by-step solution

No Solution

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