railway RRB JE (CBT I + CBT II) Mock Test 2024 Engineering Mechanics Equilibrium and Friction Equilibrium
If the resultant R, of two forces P and Q acting at an angle θ makes an angle α with P, then
1
\({\tan~\alpha} =\left[ {\frac{{{\rm{P}}\sin {\rm{\theta }}}}{{{\rm{Q}}~ -~ {\rm{P}}\sin {\rm{\theta }}}}} \right]{\rm}\)
2
\({\tan~\alpha} =\left[ {\frac{{{\rm{Q}}\sin {\rm{\theta }}}}{{{\rm{P}} ~+~ {\rm{Q}}\cos {\rm{\theta }}}}} \right]{\rm}\)
3
\({\tan~\alpha} =\left[ {\frac{{{\rm{P}}\sin {\rm{\theta }}}}{{{\rm{P}} ~+~ {\rm{Q}}\sin {\rm{\theta }}}}} \right]{\rm}\)
4
\({\tan~\alpha} =\left[ {\frac{{{\rm{P}}\cos {\rm{\theta }}}}{{{\rm{P}} ~+~ {\rm{Q}}\sin {\rm{\theta }}}}} \right]{\rm}\)