2. A particle P rests in equilibrium on a smooth horizontal plane.
A system of three forces, F₁ N, F₂ N and F₃ N where
$F_1 = (3ci + 4cj)$
$F_2 = (-14i + 7j)$
is applied to P.
Given that P remains in equilibrium,
(a) find F₃ in terms of c, i and j.
The force F₃ is removed from the system.
Given that c = 2
(b) find the size of the angle between the direction of i and the direction of the resultant force acting on P.
The mass of P is m kg.
Given that the magnitude of the acceleration of P is 8.5 m s⁻².
(c) find the value of m.