Question

Three coplanar forces each of magnitude $F$ act on a particle at ${}^{\prime }{O}^{\prime }$ as shown in the figure. The resultant force is

• A. 2 F along OQ
• B. 2F along OP
• C. $\frac{\sqrt{3}}{2}F$ along $OR$
• D. zero

Answer 1

Answer: (B)

2F along OP

Along vertical, components of R and Q cancel out .But along horizontal, the components of OP,OQ and OR are F ,$\frac{F}{2}$ and $\frac{F}{2}$ respectively, which make a total of 2F along OP.