Question

Three forces p,q,r are acting ona particle in the plane the angle between p and q and that between qand r are 150 and 120 respectively then for equilibrium force s p,q,r

Answer 1

Step by step solution.

1.Draw  the  diagram  to  represent  P,  Q  and  R  in  the  plane,  say  OPQR,  with  O  as  origin  and  OP

2.Along X- axis say. O is initial point and P is terminal point for the vector P.

for other vectors Q and R.

The he angle ROP = 360(-(150+120) = 90°

Represent vector R or OR as PR', so that the line segment PR' is parallel to OR.

By triangle law P+R = OR'

OR' must be opposite and equal to Q in order to keep the

particle at O in equilibrium.

Hence, angle POR' = 30.

Let |P|, |Q| |R | bet the respective magnitudes.

Apply sine rule to for triangle OPR'

OR =|R|/sin30=|P|/sin60=|Q|

|P|/1=|Q|/2=|R|/√3

hence , ratio=1:2:√3

Answer 2

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