hw9_3221spring2011

# hw9_3221spring2011 - 1 Phy 3221 Due Homework set 9 For all...

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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 spring-constant k . One spring is lined up on the x-axis, the other on the y-axis. 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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