Question

FIND THE RESULTANT VECTOR OF TWO MAGNITUDE 10N AND 8N IF THEY ARE INCLINED TO EACH OTHER AT 30DEGREES

Answer 1

| A | = 10 N

| B | = 8 N

angle, θ = 30°

|R|² = |A|² + |B|² + 2ABCosθ

==> | R |² = 100 + 64 + 2×100×8×√3/2

==> | R |² = 164 + 800√3

==> | R |² = 164 + 1384

==> | R | = 39.34 N