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Science · Advanced Physics
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7. Two equal masses m move on a frictionless horizontal table. They are held by three identical taut strings (of length Land tension T) as shown in the Fig, so that their equilibrium position is a straight line between the anchors at A and B. The two masses move in the transverse (y) direction, but not in the longitudinal (a) direction. Write down the Lagrangian for small displacements and find and describe the corresponding normal 2/2 FIG. 4: Fig for Q7 modes [10 points]. Hint: Small displacements have y much less than L so you can treat the tension as a constant, such that U Tod where d is the displacement of the stringl

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