If a hollow cylinder rolls down an incline, how does its acceleration compare to that of a solid cylinder?
Practice Questions
1 question
Q1
If a hollow cylinder rolls down an incline, how does its acceleration compare to that of a solid cylinder?
Hollow cylinder accelerates faster
Solid cylinder accelerates faster
Both accelerate equally
Depends on the angle of incline
The solid cylinder has a lower moment of inertia compared to the hollow cylinder, thus it accelerates faster down the incline.
Questions & Step-by-step Solutions
1 item
Q
Q: If a hollow cylinder rolls down an incline, how does its acceleration compare to that of a solid cylinder?
Solution: The solid cylinder has a lower moment of inertia compared to the hollow cylinder, thus it accelerates faster down the incline.
Steps: 5
Step 1: Understand what a hollow cylinder and a solid cylinder are. A hollow cylinder is like a tube, while a solid cylinder is filled inside.
Step 2: Learn about moment of inertia. This is a measure of how difficult it is to change the motion of an object. A lower moment of inertia means it's easier to roll.
Step 3: Compare the moment of inertia of both cylinders. The solid cylinder has a lower moment of inertia than the hollow cylinder.
Step 4: Know that when both cylinders roll down an incline, the one with the lower moment of inertia will accelerate faster.
Step 5: Conclude that since the solid cylinder has a lower moment of inertia, it will accelerate faster down the incline than the hollow cylinder.
