Question

The sum of the magnitudes of two forces acting at a point
is 18 and the magnitude of their resultant is 12. If the
resultant is at 90° with the force of smaller magnitude,
what are the magnitudes of forces? ​

Answer 1

Answer:

Step-by-step explanation

   

   F 2 + 8 2 = ( 16 − F ) 2

⇒ (16 − F ) 2 − F 2 = 64

⇒ 16 ( 16 − 2 F ) = 64

⇒ 256 − 32 F = 64

⇒ F = 256 − 64 /32 = 6 N  

So the smaller force is  6  N

and the larger force is  10  N