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
![\[ \frac{1}{2} m \left( \frac{dx}{dt} \right) ^2 + \frac{1}{6} M\left( \frac{dx}{dt} \right) ^2 + \frac{1}{2} kx^2 =E \]](mastermathpng-0.png)
The frequency of oscillation is
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
The frequency of oscillation is