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4.2 friction — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics4.2 friction1 Mark
MCQ
A uniform chain of length $L$ which hanges partially from a table, is kept in equilibrium by friction. The maximum length that can withstand without slipping is $l$ , then coefficient of friction between the table and the chain is
  • A
    $\frac{l}{L}$
  • B
    $\frac{l}{{L + l}}$
  • ✓
    $\frac{l}{{L - l}}$
  • D
    $\frac{L}{{L + l}}$
✓

Answer

Correct option: C.
$\frac{l}{{L - l}}$
c
$\mathrm{m}_{1} \mathrm{g}=\mu \mathrm{m}_{2} \mathrm{g} \quad \mathrm{m}_{1} \rightarrow$ mass of hanged part

$\mathrm{m}_{2} \rightarrow$ mass of remaining part

$\mu=\frac{m_{1}}{m_{2}}=\frac{\frac{M}{L} \times \ell}{\frac{M}{L}(L-\ell)}=\frac{\ell}{L-\ell}$

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