Two identical circular cylinders of radius r and mass m each, are connected by a spring, as shown below. Derive the equations of motion using Lagrange's equations. Please indicate the lowest natural...

THE MOTION IS ON THE HORIZONTAL PLANE (NO GRAVITY

Extracted text: Two identical circular cylinders of radius r and mass m each, are connected by a spring, as shown below. Derive the equations of motion using Lagrange's equations. Please indicate the lowest natural vibration frequency.(I =-mr?) k m m