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Three boys are pulling a heavy trolled b...

Three boys are pulling a heavy trolled by means of three ropes. The boy in the middle is exerting a pull of `100N`. The other two boys ,whose ropes both make an angle `30^(@)` with the central rope, are pulling with forces of `50sqrt(3)N` and `100sqrt(3)N`. Find the magnitudes of the resultant pull on the trolltey.

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Verified by Experts

The correct Answer is:
`327.9`
Therefore, resultant,
`x_("componnent")=50sqrt(3)xxsqrt(3)/2hat(i) +100sqrt(3)*sqrt(3)/2hat(i)+100hat(i)`
`=-325hat(i)`
`y_("component")=50sqrt(3)xx1/2hat(j)-100sqrt(3)xx1/2hat(j)=-25sqrt(3)hat(j)`
`:.` Resultant `=sqrt((325)^(2)+(-25sqrt(3))^(2))=sqrt(107500)=327.9`
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