Question: 6. * Another Atwood's Machine Consider the Atwood's machine shown in the figure, consisting of two massless pulleys supporting three masses my, mo and mg

6. * Another Atwood's Machine Consider the Atwood's machine shown in the figure, consisting of two massless pulleys supporting three masses my, mo and mg via massless strings. Write the Lagrangian for the system in terms of the generalized coordinates z; and x. In addition to energy, this system has one more conserved quantity: identify the corresponding symmetry of the Lagrangian, and use Noether's theorem to find the corresponding conserved quantity. Verify directly from the equations of motion that this quantity is conserved. Figure 3: Problem |6

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