A yo-yo has a rotational inertia of 950 g · cm2 and a mass of 120 g. Its axle radius is 3.2 mm, and its string is 120 cm long. The yo-yo rolls from rest down to the end of the string.

What is the magnitude of its linear acceleration?

Question

A yo-yo has a rotational inertia of 950 g · cm2 and a mass of 120 g. Its axle radius is 3.2 mm, and its string is 120 cm long. The yo-yo rolls from rest down to the end of the string.

What is the magnitude of its linear acceleration?

ganeshie8 · Answer

|dw:1446105162664:dw|

anonymous · Answer

I found this: https://answers.yahoo.com/question/index?qid=20071103193140AAnJ3YA

ganeshie8 · Answer

Haha.. cheater!
It seems there are many ways to solve this problem. I have posted this here in hope to see how others approach the problem...

irishboy123 · Answer

give the string a mass and a thickness, and re-post it.....!

ganeshie8 · Answer

It is not given but I think we may assume it :)

anonymous · Answer

|dw:1446112491196:dw| You can use lagrangian $$T=1/2m \dot y+1/2 I \dot \theta ^2$$ and go from there