Question

The resultant of two forces. One of which is double then the other is 260N.
If the direction of the large force is reversed and the other remains unaltered,the resultant reduces to 180N. Determine the magnitude of the force and the angle between the force

Answer 1

Answer:

the forces be of magnitude x and 2x. Then,

x2 +4x2+4x2cosy=(260)2

and similarly

x2+4x2-4x2cosy=(180)2

Simplifying we get,

10x2=100000 or x=100

and

8x2cosy=35200

or cosy=44/100

so forces are 100N and 200N and at an angle of somewhere round 64 degrees.