Answer to Question #175924 in Mechanical Engineering for luke

Question #175924

A spring has a stiffness of 100N/m. A mass of 3 kg was attached to the spring. The mass was pushed 10cm upward from the equilibrium position and was released from rest. Determine the frequency of vibration in Hz.


1
Expert's answer
2021-04-01T01:13:08-0400

"k_1=100N\/m"


"k_2= \\frac{F}{ \\delta}= \\frac{3 \\times9.81}{10 \\times 10^{-2}}=294.3 N\/m"


The frequency of vibration is given by the formulae below


"f= \\frac{1}{2 \\pi} \\sqrt{ \\frac{k_2}{m}}"


Where k is the stiffness of the spring and m is the mass.

"f=\\frac{1}{2 \\pi} \\sqrt{ \\frac{294.3}{10 \\times10^{-2}}}"


"f=8.634 Hz"




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