Find the three force components of the 450 Ibf force given t

Find the three force components of the 450 Ibf force given the angles shown. (Problem from Class4me.com) Statics and Strength of Materials 03 Vectors, Unit Vectors and Direction Cosines.

Solution

Direction cosine of the force along \'x\' direction = cos(112)

Therefore, component of the force along \'x\' direction = 450*cos(112) = -168.57 lbf

Similarly,

Along \'y\' direction = 450 cos(34.1)= 372.63 lbf

Along \'z\' direction= 450 cos(65) = 190.18 lbf