For the hook support determine by trigonometry the magnitude

For the hook support, determine by trigonometry the magnitude and direction of the smallest force P for which the resultant R of the two forces applied to the support is horizontal, the corresponding magnitude of R.

Solution

the smallest force P will be perpendicular to R

P = 50 sin 25 = 21.1N

magnitude of R

R = 50 cos 25 = 45.3 N