ST7.22 A spring with mass

An object of mass m is attached to a uniform spring of total mass M and spring constant k. The total energy, E, of this system can be written as

\[ \frac{1}{2} m \left( \frac{dx}{dt} \right) ^2 + \frac{1}{6} M\left( \frac{dx}{dt} \right) ^2 + \frac{1}{2} kx^2 =E \]

The frequency of oscillation is

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Correct
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Incorrect

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