Amelia is attempting a mechanics problem in which four coplanar forces , , , and are acting on a body. She needs to determine whether the body is in equilibrium or not. She remembers her teacher saying something about checking whether she could arrange the forces into a polygon. So, she has drawn the shown parallelogram.
Amelia concludes that the forces are in equilibrium. Is she correct?
Which of the following best describes what she has done?
Six coplanar forces , , , , , and are acting on a body in equilibrium. Their polygon of forces is shown.
Given that , , , , and , find the magnitude of .