1 \(\frac{{\mu mg}}{{(\sin \theta - \mu \cos \theta )}}\)
2 \(\frac{{(\sin \theta - \mu \cos \theta )}}{{\mu mg}}\)
3 \(\mu mg\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
Explanation:
For vertical equilibrium of the block:
\(R = F\cos \theta + mg\,\,\,\,\,(1)\)
While for horizontal:
\(F\sin \theta = \mu R\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(2)\)
From (1) and (2).
\(F\sin \theta = \mu \,(F\cos \theta + mg)\)
\( \Rightarrow F = \frac{{\mu mg}}{{(\sin \theta - \mu \cos \theta )}}\)
