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A disk and a ring of the same mass and radius are rolling down an incline. Which
A disk and a ring of the same mass and radius are rolling down an incline. Which will reach the bottom first?
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Practice Questions
1 question
Q1
A disk and a ring of the same mass and radius are rolling down an incline. Which will reach the bottom first?
Disk
Ring
Both will reach at the same time
Depends on the angle of incline
Show Solution
Copy
The disk has a smaller moment of inertia compared to the ring, hence it will reach the bottom first.
Questions & Step-by-step Solutions
1 item
Q
Q: A disk and a ring of the same mass and radius are rolling down an incline. Which will reach the bottom first?
Solution:
The disk has a smaller moment of inertia compared to the ring, hence it will reach the bottom first.
Steps: 5
Show Steps
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 disk has a smaller moment of inertia than the ring. This means the disk is easier to roll.
Step 4: Realize that when both objects roll down the incline, the one with the smaller moment of inertia will accelerate faster.
Step 5: Conclude that since the disk has a smaller moment of inertia, it will reach the bottom of the incline before the ring.
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