Unformatted text preview: 1 Phy 3221 Due: March 23, 2011 Homework set # 9 For all of the problems in this set, unless otherwise stated, assume that you have the following situation: A single object of mass m is attached to the ends of two identical very long springs of springconstant k . One spring is lined up on the xaxis, the other on the yaxis. Choose your axes and positions of the springs so that the equilibrium position of the object is at x = y = 0. The springs are long enough that if the mass is at x ˆ ı + y ˆ then the restoring force is k ( x ˆ ı + y ˆ ). Assume that there is no damping in this problem. Feel free to let ω = p k/m . Problem 1: Assume that the oscillations in the x and the y directions have the same amplitude A and are in phase. Describe the object’s path in terms of circular coordinates. Problem 2: Assume that the oscillations in the x and the y directions have the same amplitude A but that the oscillations are out of phase by π/ 2. Describe the object’s path in terms of circular coordinates.in terms of circular coordinates....
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 Spring '08
 CHAN
 mechanics, Cartesian Coordinate System, Mass, Work, #, Polar coordinate system, ΔA

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