3. The system in Figure lies on a friction-less horizontal table. Both masses are $m$, and the two spring constants are $n k$ (where $n$ is a numerical factor) and $k$. The springs have the same relaxed length. Assuming that it is possible to set up initial conditions so that the masses oscillate back and forth with the two springs always having equal lengths at any given instant, what is $n$ ? (10 marks) Figure 1: Figure for Question 3.

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