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PREDICTION CHALLENGE: ROLLS IN SYNC!
GIVEN: Two rolls of toilet paper and a meterstick
TASK: Determine the ratio of heights so that both rolls land at the same time when dropped as shown on the picture.
POSTER: Force diagrams and complete derivation of height ratio
DATA:
M: mass of dropped toilet paper
m: mass of unrolled toilet paper
R: outer radius
r: inner radius
Rotational inertia for a cylinder:
Rotational inertia for unrolled roll rotating about its outer radius:
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