A uniform chain of mass 4 kg and length 2 m is kept on table such that 3 10 th of the chain hangs freely from the edge of the table. How much work has to be done in pulling the entire chain on the tab

Question

A uniform chain of mass 4 kg and length 2 m is kept on table such that 3 10 th of the chain hangs freely from the edge of the table. How much work has to be done in pulling the entire chain on the table?

TestHub · Accepted Answer

The center of mass of the hanging part is at $0.3 m$ from table

Mass of hanging part $= \frac{4 \times 0 . 6}{2} = 1 . 2 kg$

$∴ W = m g h$

$= 1 . 2 \times 10 \times 0 . 3$ (centre of hanged part distance from top is taken as several points are located at different distance from top)

$= 3 . 6 J$

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