# Weight of a Falling Chain

A 100 m rope of line density $$\lambda=0.1$$ kg/m is suspended vertically so that the bottom of the chain is just touching a scale. It is then released and falls onto the scale, which perceives a time dependent weight.

What is the reading on the scale in Newtons at the moment half the rope lies on the scale?

Assumptions and Details

• $$g=9.8$$ m/s$$^{2}$$.
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