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A pivoted beam of negligible mass has a ...

A pivoted beam of negligible mass has a mass suspended from one end and an Atwood's machine suspended from the other. The frictionless pulley has negligible mass and dimension. Gravity is directed downwards and `M_(2) = 3 M_(3)`,`l_(2) = 3 l_(1)` . Find the ratio `M_(1)//M_(2)` which will ensure that the beam has no tendency to rotate just after the masses are released.

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