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Two cylinders, made from the same material and having the same length, have radi

ID: 2226312 • Letter: T

Question

Two cylinders, made from the same material and having the same length, have radii r1 and r2 with r1 > r2. Both are free to rotate about their respective axes. The larger cylinder is initially rotating with angular velocity Wnaught. The smaller cylinder is moved until it comes into contact with the larger one. Eventually the frictional force causes both cylinders to rotate with constant angular velocity but in opposite directions. Find the final angular velocity of the smaller cylinder. Are any dynamical quantities conserved in this case? Please use words along with your calculations.

Explanation / Answer

Wires 1 and 2 are made of the same metal. Wire 2 has twice the length and twice the diameter of wire 1. What is the ratio of the resistances of the two wires?

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