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Three forces P, Q and R are acting on a ...

Three forces P, Q and R are acting on a particel in the plane, the angle between P and Q and that between Q and R are `150^(@)` and `120^(@)` respectively. Then for equilibrium, forces P, Q and R are in the ratio

A

`1 : 2 : 3`

B

`1 : 2 : sqrt3`

C

`3 : 2 : 1`

D

`sqrt3 : 2 : 1`

Text Solution

Verified by Experts

The correct Answer is:
D

The particle is at rest under action of forces P, Q and R.
`Qsin60^@=P and Q cos 60^@R`
`implies(2)/(sqrt3)P=Q` and `2R=Q`
`impliesP:Q:R=sqrt(3):2:1`
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