The force F should have a magnitude of 750 N and be applied at an angle of approximately 31.7∘ below the horizontal to achieve a resultant force directed vertically upward.
To achieve a resultant force directed vertically upward with a magnitude of 750 N when removing a post, two forces are applied at the end of a screw eye. The force F needs to be exerted at an angle below the horizontal. The vertical component of force Fmust balance the other force components to yield a net force pointing upward.
The angle at which F should be applied is determined by trigonometric calculations. By setting up equations for the horizontal and vertical components of the forces and solving for the angle, we find that F should have a magnitude of 750 N and be applied at an angle of approximately 31.7∘ below the horizontal to ensure a resultant force directed vertically upward with the specified magnitude. This configuration optimally balances the horizontal and vertical forces for effective removal of the post.