A uniform fine chain of length `l` is suspended with lower end just touching a horizontal table . Find the pressure on the table, when a length `x` has reached the table .
(C) Let m he mass per unit length of chain . When the velocity is `v` then a length `vdt` is brought to rest on the table in a short interval of time dt i.e. , a mass `mvdt` i.e. a brought to rest . Hence , amount of momentum changed in time
`dt = mvdt . v = mv^2dt`.
The force on the table due to the rate of change of falls freely , the velocity , when a length `x` has reached the table is given by `v^2 = 2gx`
Since , the weight of length `x` of the chain is `mgx`.
`:.` Total pressure = `mgx + mv^2`
= `mgx + 2mgx = 3mgx`
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