There are four forces acting at a point P produced by strings as shown in figure. Which is at rest ? Find the forces `F_(1)` and `F_(2)` .

Explanation

Let `F_(3) = 1 N` (given )
`F_(4) = 2N` (given)
`Sigma F _(x ) = 0`
`F_(2) cos 45 (1-2) = 0`
`F_(2) +(1)/(sqrt(2)) (-1) = 0`
`Sigma F_(y) = 0`
1 sin 45 + 2 sin 45 `F_(2) = 0`
3 sin 45 `-F_(2) = 0`
`F_(2) = 2 sin 45`
` =(3)/(sqrt(2))`
`2.121 N`