Posted by **Tricia** on Sunday, February 10, 2013 at 9:29am.

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.

- MATH116 -
**Henry**, Monday, February 11, 2013 at 4:14pm
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.

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