A motorist applies the two forces shown to loosen a lug nut. The direction cosines of F ar...

A motorist applies the two forces shown to loosen a lug nut. The direction cosines of F are cos θx = , cos θy = , and cos θZ = . If the magnitude of the moment about the x axis must be 32 ft-lb to loosen the nut, what is the magnitude of the forces the motorist must apply? (See Example 4.8.)