1 \(F\left( {1 - \frac{x}{L}} \right) + \frac{x}{L}Mg\)
2 \(F\left( {1 - \frac{x}{L}} \right)\)
3 \(F\frac{x}{L} + \frac{x}{L}Mg\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
Explanation:
Let \(a\) is the acceleration of the rope
\(F - Mg = Ma\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(1)\)
Let \(T\) be the tension in the rope at a distance \(x\).
\(T = \frac{{\rm M}}{L}(L - x)(g + a)\,\,\,\,\,\,\,(2)\)
From eq’s (1) & (2)
\(T = F\left( {1 - \frac{x}{L}} \right)\)