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A vertical spring mass system has mass of 0.5 kg and an Initial deflection of 0.2cm. Find the spring stiffness and natural frequency of the system.
written 7.9 years ago by gravatar for rakeshrameshpoojari rakeshrameshpoojari • 80 modified 3.9 years ago by gravatar for sagarkolekar sagarkolekar ★ 11k
mechanical vibrations
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written 3.9 years ago by gravatar for Krishna_Agrawal Krishna_Agrawal • 2.7k •   modified 3.9 years ago

Given,

m = 0.5 kg

δ = 0.2 cm

According to question,

Spring stiffness = ?

Natural frequency = ?

Spring Stiffness is given by,

$stiffness = (\frac {mg}{δ})$

$stiffness = (\frac {0.5 \times 9.81}{0.2/100})$

$stiffness = 2452.5 N/m$

Frequency is given by,

$F_n = (\frac {1}{2π}) \times (\frac {g}{δ}) …

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