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Question

A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. If g is acceleration due to gravity, the work required to pull the hanging part on the table is

A
MgL
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B
MgL3
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C
MgL9
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D
MgL18
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Solution

The correct option is D MgL18
Mass M3 has its centre of mass L6 below the table surface.
W = mgh=(M3)(g)(L6)
=MgL18

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