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प्रश्न
There are four forces acting at a point P produced by strings as shown in the figure, which is at rest. Find the forces F1 and F2.
उत्तर
Consider the adjacent diagram, in which forces are resolved.
On resolving forces into rectangular components, in equilibrium forces `(F_1 + 1/sqrt(2))` N are equal to `sqrt(2)` N and F2 is equal to `(sqrt(2) + 1/sqrt(2))` N.
∴ `F_1 + 1/sqrt(2) = sqrt(2)`
`F_1 = sqrt(2) - 1/sqrt(2)`
= `(2 - 1)/sqrt(2)`
= `1/sqrt(2)`
= 0.707 N
And `F_2 = sqrt(2) + 1/sqrt(2)`
= `(2 + 1)/sqrt(2)` N
= `3/sqrt(2)` N
= 2.121 N
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