Two forces of magnitudes 60 Newtons and 80 Newtons make an angle of 30� with each other and are

Question

applied to an object at the same point. Find the following:

1. the magnitude of the resultant force, and
2. to the nearest degree the angle it makes with the force of 60 Newtons.

Answer 1

Fr = 60N @ 30o,CCW + 80N @ 60o,CCW =
Resultant force.
60o - 30o = 30o Bet. the forces.

1. X = 60*cos30 + 80*cos60 = 92 N.
Y = 60*sin30 + 80*sin60 = 99.3 N.
Fr^2 = X^2 + Y^2 = 18,324,49
Fr = 135.4 N = Resultant force.

2. tanA = Y/X = 99.3/92 = 1.0130
A = 45.4o,CCW = Resultant angle.
45.3 - 30 = 15o Bet. Fr and the 60N force.