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Three forces P, Q and R are acting on a particle in the plane, the angle between P and Q and that between Q and R are 1500 and 1200 respectivley. Then for equilibrium, forces P, Q and R are in the ratio

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a

1 : 2 : 3

b

1 : 2 : 3

c

3 : 2 : 1

d

3 : 2 : 1

answer is D.

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Detailed Solution

The particle is at rest under action of forces P, Q and R.∴ Q sin600 = P and Q cos600 = R⇒23P = Q and 2R = Q⇒ P : Q : R =3 : 2 : 1

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