A uniform chain of length $2\,m$ is kept on a table such that a length of $60\,cm$ hangs freely from the edge of the table. The total mass of the chain is $4\,kg$. What is the work done in pulling the entire chain on the table ................ $\mathrm{J}$
A uniform chain of length $2\,m$ is kept on a table such that a length of $60\,cm$ hangs freely from the edge of the table. The total mass of the chain is $4\,kg$. What is the work done in pulling the entire chain on the table ................ $\mathrm{J}$
$7.2$
$3.6$
$120$
$1200$
A uniform chain of length $2\,m$ is kept on a table such that a length of $60\,cm$ hangs freely from the edge of the table. The total mass of the chain is $4\,kg$. What is the work done in pulling the entire chain on the table ................ $\mathrm{J}$
Fraction of length of the chain hanging from the table
$ = \frac{1}{n} = \frac{{60cm}}{{200cm}} = \frac{3}{{10}}$==> $n = \frac{{10}}{3}$
Work done in pulling the chain on the table
$W = \frac{{mgL}}{{2{n^2}}}$
$ = \frac{{4 \times 10 \times 2}}{{2 \times {{(10/3)}^2}}} = 3.6J$
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