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There are four force acting at a point p...

There are four force acting at a point `p` produced by strings as shown in figure, which is at rest. The force `F_(1)` and `F_(2)` are .

Text Solution

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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` .
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