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Find forces P and Q such that resultant of given system is zero.

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Rx=ΣFx(+ve)

=40cos60+Qcos2030

Since, resultant of given system is zero

$∴R_x=0 \\ ∴Q \cos 20=30-40 \cos 60=30-20=10 \\ ∴Q=\dfrac {10}{\cos 20}=10.642N \\ R_y= Σ F_y ( ↑ +ve ) \\ =50+40 \sin 60-P-Q \sin ⁡20 \\ ∴ R_y=0 \\ …

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