Question

Two forces F1 and F2 are given by the vectors F, = (pi + 5j N and F, = (3i + qj) N. The resultant force,

R = F, + F2 acts in a direction which is parallel to the vector 2i - 5j.
a Find the angle, to 2 decimal places, between R and the vector 2i.
b Show that 5p + 2g = -25.
c Given that p = -3, find, to 2 decimal places, the magnitude of R.

Answer 1

a) Find the angle, to 2 decimal places, between R and the vector 2i.

Explanation:

Two forces, F1 and F2 are given by the vectors F1=(4i-5j)N and F2=(pi-qj)N. The resultant force, R=F1+F2 acts in the direction which is parallel to the vector (3i-j)