Determine the projection of the force F along the pole Assum

Determine the projection of the force F along the pole. Assume that F = {2i+3j+ 8k} kN. (Figure 1) Express your answer to two significant figures and include the appropriate units.

Solution

Solution :

Projection of the force F is nothing but dot product of the vector and the U_a Vector.

Projection = F. U_a = {2i+3j+8k) . (2/3 i + 2/3 j - 1/3k)

Projection= (4/3)+(6/3)-(8/3) = 0.667 KN = 667 N