#48 Two horizontal frictionless rails make an angle..

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#47 BEADS ON ANGLED RAILS

Two horizontal frictionless rails make an angle θ with each other, as shown in Fig. 4.27. Each rail has a bead of mass m on it, and the beads m m k u Fig. 4.27 are connected by a spring with spring constant k and relaxed length zero. Assume that one of the rails is positioned a tiny distance above the other, so that the beads can pass freely through the crossing. Find the normal modes.

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