Two equal masses, m, connected by a string, hang over two pulleys (of negligible size), as shown in Fig. The left one moves in a vertical line, but the right one is free to swing back and forth (in the plane of the masses and pulleys). Find the equations of motion for r and ?, as shown. Assume that the left mass starts at rest, and the right mass undergoes small oscillations with angular amplitude ? (with ?

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Њ m -- 4 20 m