For a hollow cylinder and a solid cylinder rolling without slipping on an inclined plane, then which of these reaches earlier

The acceleration of the two rolling cylinders on an inclined plane without slipping is dominated by the moment of inertia. For the same mass and radius, the moment of inertia for the hollow cylinder is greater than that of the solid cylinder. Thus, the fraction of potential energy converted to translational kinetic energy is greater for the solid cylinder, resulting in greater acceleration.

The hollow cylinder, however, has a greater moment of inertia and, hence, more energy in rotational rather than translational motion. This results in a smaller acceleration of the hollow cylinder along the slope.

The acceleration is greater in the solid cylinder; therefore, the solid cylinder will reach the bottom of the slope before the hollow cylinder does. This happens for all objects with different moments of inertia which roll down any incline.

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