hw6.pdf - Homework 6 PHY 5200 Fall 2016(due on 1 Find the...

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Homework 6, PHY 5200, Fall 2016 (due on 10/26/2016) 1. Find the equation giving φ as a function of z for the geodesic (shortest path) on the cylinder of radius R , between two points with coordinates ( φ 1 , z 1 ) and ( φ 2 , z 2 ). 2. Show that the shortest path between two points in a plane is a straight line, using polar coordinates. 3. A bead can slide without friction along an infinite straight wire, which rotates in vertical plane with angular velocity ω . Initially the wire is in the horizontal position, the bead is not sliding, and at distance
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  • Fall '16
  • Sergei Voloshin
  • mechanics, Work, Euclidean geometry, shortest path

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