Question

If the resultant of two forces is of magnitude $P$ and equal to one of them and perpendicular to it, then the other force is

• A. $\sqrt{2}P$
• B. $P$
• C. $\sqrt{3}P$
• D. None of these

Answer 1

The correct option is A

$\sqrt{2}P$

Step 1: Given data

The result of the two forces is of magnitude $P$ and equal to one of them and perpendicular to it.

Step 2: To find

The other force

Step 3: Solution

In the right angle $∆AOB$,

$$\begin{gathered} X^2=P^2+P^2 \\ {X}^2=2P^2 \\ X=\sqrt{2}P \end{gathered}$$

Hence, the other force is $\sqrt{2}P$.