A uniform chain of length math xmlns=http://www.w3.org/1998/Math/MathMLmn2/mnmo /momi mathv...

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A uniform chain of length math xmlns=http://www.w3.org/1998/Math/MathMLmn2/mnmo /momi mathvariant=normalm/mi/math is kept on a table such that a length of math xmlns=http://www.w3.org/1998/Math/MathMLmn60/mnmo /momicm/mi/math hangs freely from the edge of the table. The total mass of the chain is math xmlns=http://www.w3.org/1998/Math/MathMLmn4/mnmo /momikg/mi/math. The work done in pulling the entire chain on the table (Take math xmlns=http://www.w3.org/1998/Math/MathMLmig/mimo=/momn10/mnmo /momi mathvariant=normalm/mimsupmrowmo /momi mathvariant=normals/mi/mrowmrowmo-/momn2/mn/mrow/msup/math )
(a) math xmlns=http://www.w3.org/1998/Math/MathMLmn12/mnmo./momn9/mnmo /momi mathvariant=normalJ/mi/math
(b) math xmlns=http://www.w3.org/1998/Math/MathMLmn6/mnmo./momn3/mnmo /momi mathvariant=normalJ/mi/math
(c) math xmlns=http://www.w3.org/1998/Math/MathMLmn3/mnmo./momn6/mnmo /momi mathvariant=normalJ/mi/math
(d) math xmlns=http://www.w3.org/1998/Math/MathMLmn2/mnmo./momn0/mnmo /momi mathvariant=normalJ/mi/math
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