First slide

Work

Question

A uniform chain of length 2m 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 ?

Moderate

A

7.2 J
B

3.6 J
C

120 J
D

1200 J

Solution

The center of gravity of the hanging part is at 0.3 m from table.

$∴$ mass of hanging part of chain $= \frac{4 \times 0.6}{2} = 1.2 k g$
$∴$ Work done in pulling the entire chain on to the table=(mass of hanging part)g(center of gravity of hanging part) = mgh = 1.2 x 10 x 0.3 = 3.6 J
h= height through which the centre of mass of the hanging part moved on pulling.

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