0

8.8kviews

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

written 8.7 years ago by teamques10 ★ 69k

•   modified 4.9 years ago

engineering mechanics

ADD COMMENT FOLLOW SHARE EDIT

1 Answer

2

2.5kviews

written 8.7 years ago by teamques10 ★ 69k

•   modified 8.7 years ago

$$R_x= Σ F_x ( → +ve )$$ $$=40 \cos 60+Q \cos 20-30$$

Since, resultant of given system is zero

$∴R_x=0 \\ ∴Q \cos 20=30-40 \cos 60=30-20=10 \\ ∴Q=\dfrac {10}{\cos 20}=10.642N \\ R_y= Σ F_y ( ↑ +ve ) \\ =50+40 \sin 60-P-Q \sin ⁡20 \\ ∴ R_y=0 \\ ∴0=50+40 \sin 60-P-10.642 \sin 20 \\ ∴P=81N$

ADD COMMENT SHARE EDIT