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The resultant of two forces 3P and 2P is...

The resultant of two forces 3P and 2P is R. If the first force is doubled then resultant is also doubled.The angle between the two forces is

A

`60^(@)`

B

`120^(@)`

C

`90^(@)`

D

`180^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
(b) Resultant,
`R=sqrt(9P^(2)+4P^(2)+12P^(2)costheta)` . . . (i)
` 2R=sqrt(36P^(2)+4P^(2)+24Pcostheta)` . . . (ii)
Solve them, `costheta=(1)/(2)`
`:.theta=120^(@)`
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