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Question

A simple mass-spring oscillatory system consists of a mass m, suspended from a spring of stiffness k. Considering z as the displacement of the system at any time t, the equation of motion of the free vibration of the system is m¨z+kz=0. The natural frequency of the system is

A
km
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B
mk
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C
km
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D
mk
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Solution

The correct option is A km
For simple harmonic motion
m¨z+kz=0
¨z+km=0

Standard equation:
d2xdt2+w2x=0
w2=km
w=km

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