Question

if two forces each of magnitude F act at right angles, their effect may be neutralised by a third force P. the value of P is ​

Answer 1

Answer:

Their effect may be neutralized by a third force acting along their bisector in the opposite direction. What is the magnitude of that third forces. The third force, should be opposite to the resultant and of same magnitude. Hence, answer is F/√2.

Answer 2

The value of P is F√2.

2 forces F are acting at right angles and gets neutralized by third force P.

Now, P will have a magnitude and direction that is equal and opposite to that of the resultant force of two forces.

Now, resultant value of the two forces:

$R = \sqrt{ {F}^{2} + {F}^{2} }$

$\implies R = \sqrt{ 2{F}^{2} }$

$\implies R = F \sqrt{ 2 }$

Now, the value of P should be equal to the resultant (R) , and the direction should be opposite to that of the resultant.

So, magnitude of P is F√2.