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 ?
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a
7.2 J
b
3.6 J
c
120 J
d
1200 J
answer is B.
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Detailed Solution
The center of gravity of the hanging part is at 0.3 m from table. ∴ mass of hanging part of chain = 4×0.62 = 1.2kg ∴ 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 Jh= height through which the centre of mass of the hanging part moved on pulling.
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 ?