1) Consider a one-dimensional system which consists of three particles of masses m, m, and my, with coordinates X, X, an

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1 Consider A One Dimensional System Which Consists Of Three Particles Of Masses M M And My With Coordinates X X An 1 (34.12 KiB) Viewed 33 times

1) Consider a one-dimensional system which consists of three particles of masses m, m, and my, with coordinates X, X, and X3 (X, SX 5 X3) connected by two identical springs of modulus and free length L: X1 X2 х3 1.1) Write down the expression for the Hamiltonian H of this system. 1.2) Write down the Hamiltonian equations for this system. 1.3) Write down the expression for the momentum P of this system. 1.4) Prove that P is conserved. 1.5) Write down the expression for the Lagrangian L of the system, and derive the Lagrangian form of the governing equations.