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You have two identical looking spools (same mass, same shape, same size). However, one is hollow, made from iron, the other is solid, made from aluminum. A string is wound around each spool. If you pull on both strings with equal forces, which spool is going to have the larger angular acceleration

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User Sankit
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1 Answer

3 votes

Answer:

The one made from AL will have a smaller moment of inertia and thus a greater acceleration:

α = I ω

I = M R^2 for the iron (all the mass at a distance R)

Replacing any of the Fe with Al (and putting at a smaller radius) is going to reduce the total moment of inertia,

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User Twweeed
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