engineering recuitment Indian Coast Guard Yantrik Mock Test 2024 Engineering Mechanics Equilibrium and Friction
If two coplanar force ‘P’ and ‘Q’ are acting at a point and θ being the angle between them and resultant ‘R’ is making an angle α with force P, then the direction or angle made by the resultant will be equal to
1
\({\rm{\alpha }} = {\tan ^{ - 1}}\left( {\frac{{{\rm{Q}}\sin {\rm{\theta }}}}{{{\rm{P}} + {\rm{Q}}\cos {\rm{\theta }}}}} \right)\)
2
\({\rm{\alpha }} = {\tan ^{ - 1}}\left( {\frac{{{\rm{Q}}\cos {\rm{\theta }}}}{{{\rm{P}} + {\rm{Q}}\sin {\rm{\theta }}}}} \right)\)
3
\({\rm{\alpha }} = {\tan ^{ - 1}}\left( {\frac{{{\rm{P}}\sin {\rm{\theta }}}}{{{\rm{Q}} - {\rm{P}}\cos {\rm{\theta }}}}} \right)\)
4
\({\rm{\alpha }} = {\tan ^{ - 1}}\left( {\frac{{{\rm{P}}\cos {\rm{\theta }}}}{{{\rm{Q}} - {\rm{P}}\sin {\rm{\theta }}}}} \right)\)