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Three forces of magnitude 30, 60 and P N...

Three forces of magnitude 30, 60 and P Newton acting on a particle and particle is in equilibrium. If the angle between the first two forces is `60^(@)`, the value of P is

A

`25 sqrt2`

B

`30 sqrt3`

C

`30 sqrt6`

D

`30 sqrt7`

Text Solution

Verified by Experts

The correct Answer is:
D
`P = sqrt(30^(2) + (60)^(2) + 2(30) (60) cos 60^(@))`
`= 30 sqrt7`
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