There arefour forces acting at a point O produced by strings as shown in which is at rest. Find the forces F_(1) and F_(2) .

There arefour forces acting at a point O produced by strings as shown

1.	There arefour forces acting at a point O produced by strings as shown in which is at rest. Find the forces F_(1) and F_(2) .
Answer» SOLUTION :resolving force of `1N` ALONG `OA` into two rectangular components: `1//sqrt2` along `F_1` and `1//sqrt2` opp to `F_(2)` Similarly , two rectangular components of `2N` force along `OB` are ` sqrt2` opp to `F_(2)` and `sqrt2` opp to `F_(1)` In equilibrium (i) `F_(1) + (1)/sqrt2 = sqrt2` or `F_(1) = sqrt2 - (1)/sqrt2 = (2-1)/sqrt2 =0.707 N` (ii) `F_(2) = sqrt2 + (1)/sqrt2 = (2+1)/sqrt2= (3)/sqrt2 = (3xx1.414)/(2) = 2.121 N` .