Two equal forces (P each) act at a point inclined to each other at an angle of `120^@`. The magnitude of their resultant is

Options

A. `P//2`
B. `P//4`
C. P
D. 2P

Answer

C

Explanation

The resultant force or two equal forces
`sqrt(P^(2) +P^(2) +2P P cos 120^(@))`
` = sqrt( 2P^(2) + 2P^(2) xx (-(1)/(2)))`
`= sqrt(2P^(2) - P^(2)) = sqrt(P^(2)) = P`