Q34 / 92 · NTA Abhyas (JEE Main) 2020 · Physics · Work Power Energy

A uniform chain of length L and mass M overhangs a horizontal table with its two-third part on the table. The friction coefficient between the table and the chain is μ. The work done by friction during the period, the chain slips of the table is

  • Correct answer
    A
    -29μMgL
  • B
    -69μMgL
  • C
    -14μMgL
  • D
    -49μMgL

Solution

The linear mass density is ML. The small work done for the slippage on the small distance dl is given by

dW=-μMLgldl

Now, total work done

W=∫02L3-μMgLl dl

=  -μMgLl2202L3=-μMg2L4L29-0

⇒   W=-29μMgL

Hence, the correct answer is option: 'A'.

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