Physics 325 Homework 5

# Physics 325 Homework 5 - Physics 325 Fall 2010 Homework...

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Physics 325, Fall 2010 Homework Assignment #5 Due Thursday 30 September at 11:15 am 1) [15 points] A mass is connected to four identical springs, each with spring constant k , as shown in the ﬁgure below. When the mass is at rest at ( x, y ) = (0 , 0), all four springs are at their relaxed length. The system is then put into motion. At time t = 0, it is observed that the position of the mass is ( x 0 , y 0 ) and the velocity if the mass is ( v 0 x , v 0 y ). Note: 1. Ignore any eﬀects of gravity in this problem. Note: 2. Assume the oscillation is much smaller than the length of the springs. In other words, neglect the fact that the displacement of the springs in the x-direction are aﬀected by the motion of the springs in the y-direction, and vice-versa. a) Determine x ( t ) and y ( t ). For the next two parts, we modify the initial conditions to be as follows: at time t = 0, it is observed that the position of the mass is ( x 0 , y 0 ) and the velocity of the mass is (0 , v 0 y ). b) Is it possible to set

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Physics 325 Homework 5 - Physics 325 Fall 2010 Homework...

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