The end of a chain, coiled near the edge of a horizontal surface, falls over the edge.
Question:
The end of a chain, coiled near the edge of a horizontal surface, falls over the edge. If the friction between the chain and the horizontal surface is negligible and the chain is inextensible then, when a length x of chain has fallen, the equation of motion is
where m is the mass per unit length of the chain, g is gravitational acceleration and v is the velocity of the falling length of the chain. If the mass per unit length of the chain is constant, show that this equation can be expressed as
and, by putting y = v2, show that v = √(2gx/3).
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If m is a constant then Hence we have Now we know ...View the full answer
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