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Examveda

If the resultant of two forces P and Q acting at an angle $$\theta $$ makes an angle $$\alpha $$ with P, then tan $$\alpha $$ equals

A. $$\frac{{{\text{P}}\sin \theta }}{{{\text{P}} - {\text{Q}}\cos \theta }}$$

B. $$\frac{{{\text{Q}}\sin \theta }}{{{\text{P}} + {\text{Q}}\cos \theta }}$$

C. $$\frac{{{\text{P}}\sin \theta }}{{{\text{P}} + {\text{Q}}\tan\theta }}$$

D. $$\frac{{{\text{Q}}\sin \theta }}{{{\text{P}} + {\text{Q}}\sin\theta }}$$

Answer: Option B


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Related Questions on Applied Mechanics and Graphic Statics

The resultant of two forces P and Q acting at an angle $$\theta $$, is

A. $${{\text{P}}^2} + {{\text{Q}}^2} + 2{\text{P}}\sin \theta $$

B. $${{\text{P}}^2} + {{\text{Q}}^2} + 2{\text{PQ}}\cos \theta $$

C. $${{\text{P}}^2} + {{\text{Q}}^2} + 2{\text{PQ}}\tan \theta $$

D. $$\sqrt {{{\text{P}}^2} + {{\text{Q}}^2} + 2{\text{PQ}}\cos \theta } $$

E. $$\sqrt {{{\text{P}}^2} + {{\text{Q}}^2} + 2{\text{PQ}}\sin \theta } $$