Question
Two forces of magnitudes 60 Newtons and 80 Newtons make an angle of 30 with each other and are
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.
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.
Answers
Henry
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.
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.