Question

Two forces, each equal to $\frac{P}{2}$ act at right angles. Their effect may be neutralized by a third force acting along their bisector in the opposite direction with a magnitude of

• A. $P$
• B. $\frac{P}{2}$
• C. $\frac{P}{\sqrt{2}}$
• D. $\sqrt{2}P$

Answer 1

The correct option is C $\frac{P}{\sqrt{2}}$

Given that there are two forces at right angle with equal magnitude $\frac{P}{2}$

The resultant force is $\sqrt{{\left(\frac{P}{2}\right)}^2+{\left(\frac{P}{2}\right)}^2}=\frac{P}{\sqrt{2}}$

therefore option $C$ is correct