If the resultant of two equal forces is sqrt(3) times a single . force, find the angle between the forces .

If the resultant of two equal forces is sqrt(3) times a single . force

1.	If the resultant of two equal forces is sqrt(3) times a single . force, find the angle between the forces .
Answer» SOLUTION :Two two forces areequal (i.e.,) P = Q Here R `= sqrt(3P)` `R = sqrt(P^(2) +Q^(2) + 2P Q cos THETA)` Substituting the values `sqrt(3P) = sqrt(P^(2) + P^(2) + 2P^(2) cos theta)` Squaring both sides `3P^(2) + P^(2) + P^(2) + 2P^(2) cos theta` `3P^(2) = P^(2) (1 + 1+ 2COS theta)` `= 2P^(2) + 2P^(2) cos theta` `:. P^(2) = 2P^(2) cos theta` `2 cos theta = 1` `cos theta = (1)/(2) (or) theta = 60^(@)` .