At a butcher shop, a prosciutto hangs from a light cord wound around the girth o
ID: 1425378 • Letter: A
Question
At a butcher shop, a prosciutto hangs from a light cord wound around the girth of a pulley (a solid disk of known radius). Once the pulley is left to rotate, the prosciutto begins to unwind the cord. What statement is true about the tension in the cord? A.) It is equal to the weight of the prosciutto. B.) If the pulley was heavier, it would be smaller. C.) It is independent of the mass of the pulley. D.) It could be either greater or smaller than the weight of the prosciutto. E.) If the pulley was heavier, it would be greater.
Explanation / Answer
mg-T = ma
TR = Ia/R i:moment of inertia of pulley about its axis
T = Ia/R2
a = mg/(m+I/R2)
T = Img/(mR2 + I)
Therefore if pulley is heavier, I is more, so T would be greater.
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