If a number of forces are acting at a point, their resultant is given by
A. $${\left( {\sum {\text{V}} } \right)^2} + {\left( {\sum {\text{H}} } \right)^2}$$
B. $$\sqrt {{{\left( {\sum {\text{V}} } \right)}^2} + {{\left( {\sum {\text{H}} } \right)}^2}} $$
C. $${\left( {\sum {\text{V}} } \right)^2} + {\left( {\sum {\text{H}} } \right)^2} + 2\left( {\sum {\text{V}} } \right)\left( {\sum {\text{H}} } \right)$$
D. $$\sqrt {{{\left( {\sum {\text{V}} } \right)}^2} + {{\left( {\sum {\text{H}} } \right)}^2} + 2\left( {\sum {\text{V}} } \right)\left( {\sum {\text{H}} } \right)} $$
Answer: Option B
This Question Belongs to Mechanical Engineering >> Engineering Mechanics
Option b is the correct answer.. If F1 and F2 are two forces( vectors ), the resultant of them is given by, F^2=F1^2+F2^2+2F1F2 cos( theta), where (theta )is angle between them. When (theta)=0, that is F1 andF2 act in the same direction, the resultant is maximum: |F|=|F1|+|F2|.
Polygon Law of Forces
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