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Two equal forces (P each) act at a point...

Two equal forces (P each) act at a point inclined to each other at an angle of `120^(@)`. The magnitude of their resultant is

A

P/2

B

P/4

C

P

D

2P

Text Solution

Verified by Experts

The correct Answer is:
C
Resultant vector `|vec(R)| = sqrt(A^(2) + B^(2) + 2AB cos theta)`
`rArr |vec(R)| = sqrt(p^(2) + P^(2) + 2P^(2) cos 120^(@))`
`rArr sqrt(2P^(2)+ 2P^(2) (-(1)/(2))) [ because cos 120^(@)= - (1)/(2)]`
`rArr P`
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