We force Frightarrow and Grightarrow act on an object The fo

We force F^rightarrow and G^rightarrow act on an object. The force G^rightarrow acts horizontally to the right with magnitude of 6 hile the force F^rightarrow of magnitude 4 N acts upward with an angle 60^degree with G^rightarrow. Determine the magnitude of the resultant force (| F^rightarrow + G^rightarrow |).

Solution

Force G (6 N) acts along right and F (4N) acts at an angle of 60 deg.

So, |F +G| sqrt( F^2 + G^2 - 2FGcos60)

= sqrt(6^2 +4^2 -2*6*4cos60)

= sqrt28

= 2sqrt7 N