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cal35182
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 Homework Statement:

Hopefully you can see the equations I’ve attached...In my lab this week, we are rolling objects down a ramp. That gives us a time, so we are able to find the object’s acceleration. An object shaped like a hoop—a plastic lid—traveled faster than other objects, like cylinders—a AA battery. Ok, so everything would be fine, but I’m told that Moment of Inertia for a hoop should be higher: closer to I = MR^2, while other shapes have lower values, I = 0.5MR^2. That coefficient is what we are solving for, after we cancel out MR^2. If you look at the attached equations, and solve for I, youll get:
I + 1 = t^2 g sin θ / a(x)
So ***HOW DOES a higher value for a(x), acceleration, give me a larger value for the I coefficient?*** Again, faster objects like a hoop, should be closer to 1. But doesn’t having acceleration in the denominator mean these will be lower values? THANKS!
 Relevant Equations:

I = X * MR^2
a(x) = g sin θ / (1+I/MR^2)
Like I said, objects with the higher acceleration are giving me the lowest values. For a hoop, I got I=0.1*MR^2
For a cylinder, I got I=0.7*MR^2
this seems backwards, no?
For a cylinder, I got I=0.7*MR^2
this seems backwards, no?