Alpha Geek
$10/per page/Negotiable
The upper end of the open-link chain of length L and mass ρ per unit length is released from rest with the lower end just touching the platform of the scale. Determine the expression for the force F read on the scale as a function of the distance x through which the upper end has fallen. (Comment The chain acquires a free-fall velocity of √2gx because the links on the scale exert no force on those above, which are still falling freely. Work the problem in two ways first, by evaluating the time rate of change of momentum for the entire chain and second, by considering the force F to be composed of the weight of the links at rest on the scale plus the force necessary to divert an equivalent stream of fluid.)
