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Rotational dynamics: Rolling of ring and disc from incline

A solid disk and ring of the same mass and radius start from rest at the top of an incline. both of them start from the same vertical height of 0.5m and roll down an incline.

Which of these reach the bottom first? Give reason.

Find the speed of the disk when it reaches the bottom of the incline.

Solution Preview

Please see the attached file.

A solid disk and ring of the same mass and radius start from rest at the top of an incline. both of them start from the same vertical height of 0.5m and roll down an incline.
Which of these reach the bottom first? Give reason.
My quess was that the solid disk would reach the bottom first because it is more arrow dynamic(??). could you tell me if that is right.
Find the speed of the disk when it reaches the bottom of the incline.
what equation do I use and how do I set it up.

Answer.
The objects are rolling down the incline without sliding due to friction that is providing necessary torque about the axis of rotation. ...

Solution Summary

Comparing angular velocity and accelerations of ring and disc of same mass and radius.

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