Particle Question

5. A particle P is acted on by three forces F1, F2 and F3, where F1 = (2i – 5j)N and F2 = (4i – 4j). Given that P is in equilibrium,

a. find F3 in terms of i and j

The force F3 is now removed and P moves under the action of F1 and F2 alone.

b. Find to 3 s.f. the magnitude of the resultant force acting on P.
c. Find, in degrees, to 1 d.p., the angle between the resultant force acting on P and the vector j.