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Periodic Motion

The natural f...

Question

The natural frequency of the spring mass system shown in the figure is closest to

A

8 Hz

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B

10 Hz

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C

12 Hz

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D

14 Hz

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Solution

The correct option is B 10 Hz

Springs are in a parallel connection
$∴ K_{e q} = K_{1} + K_{2} = 4000 + 1600 = 5600 N / m$

$ω = \sqrt{\frac{5600}{1.4}} = \sqrt{4000}$

$f = \frac{ω}{2 π} = \frac{\sqrt{4000}}{2 π} = 10 Hz$

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