A cylinder of mass (M), moment of inertia (I) about the cylindrical axis and radius (R) rolls

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A cylinder of mass \(M\), moment of inertia \(I\) about the cylindrical axis and radius \(R\) rolls on a horizontal surface without slipping.

(a) Express the no-slip constraint in differential form. Is it holonomic? Explain.

(b) Write down a Lagrangian for the system.

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