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Suppose we use a new yo-yo that has the same mass as the
Chapter 10, Problem 119IP(choose chapter or problem)
Problem 119IP
Suppose we use a new yo-yo that has the same mass as the original yo-yo and an axle of the same radius. The new yo-yo has a different mass distribution−most of its mass is concentrated near the rim. (a) Is the moment of inertia of the new yo-yo greater than, less than, or the same as that of the original yo-yo? (b) Find the moment of inertia of the new yo-yo if its speed after dropping from rest through a height h = 0.50 m is v = 0.64 m/s.
Questions & Answers
QUESTION:
Problem 119IP
Suppose we use a new yo-yo that has the same mass as the original yo-yo and an axle of the same radius. The new yo-yo has a different mass distribution−most of its mass is concentrated near the rim. (a) Is the moment of inertia of the new yo-yo greater than, less than, or the same as that of the original yo-yo? (b) Find the moment of inertia of the new yo-yo if its speed after dropping from rest through a height h = 0.50 m is v = 0.64 m/s.
ANSWER:
Step 1 of 3
(a) We know moment of inertia of any object is calculated as,
Where 
The new yo-yo has a different mass distribution?most of its mass is concentrated near the rim so its moment of inertia will be greater than the moment of inertia of the original yo-yo.