A disk and a ring of the same mass and radius are rolling down the same incline. Which one has a greater acceleration? (2019)

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Q: A disk and a ring of the same mass and radius are rolling down the same incline. Which one has a greater acceleration? (2019)

Solution: The disk has a smaller moment of inertia than the ring, resulting in greater acceleration down the incline.

Steps: 5

Step 1: Understand that both the disk and the ring have the same mass and radius.
Step 2: Learn about moment of inertia, which is a measure of how difficult it is to change the rotation of an object.
Step 3: Know that the moment of inertia for a solid disk is smaller than that of a ring.
Step 4: Realize that a smaller moment of inertia means the object can accelerate faster when rolling down an incline.
Step 5: Conclude that since the disk has a smaller moment of inertia than the ring, it will have a greater acceleration down the incline.