three balls

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This problem was contributed by Sukumar Chandra.

Three small balls of masses m, 2m and 3m are placed on a smooth horizontal surface so that they lie on the vertices of an equilateral triangle. The masses m and 2m, as well as 2m and 3m, are connected by light inextensible strings. Initially the strings are taut and the mass m is given a velocity v on the surface in a direction parallel to the string connecting 3m and 2m. With what velocity does mass 3m eventually starts moving? (Neglect friction and the mass of the strings.)


Solutions (listed by author)

David Peterson (pdf, 47k)


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