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A sack containing sand is tied to one end of a massless inextensible string, the other end of which is connected to a mass m.The string passes over a fixed pulley of mass 2m so that initially the system is balanced.The sack develops a small hole through which the sand leaks out at a constant rate X. Determine the velocity of the sack when one fourth of the sand is left .The mass of empty sack being m/5.Assume that the string does not slip over the pulley.

Aakash , 8 Years ago
Grade 12
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