August 23, 2016 in Mechanics: Statics tagged engineering Mechanics: Statics / rectangular components

Image from: Hibbeler, R. C., S. C. Fan, Kai Beng. Yap, and also Peter Schiavone. Statics: Mechanics for Engineers. Singapore: Pearson, 2013.

You are watching: Determine the coordinate direction angle α of the resultant force.

Solution:

### We will begin off by illustration a vector diagram to aid us visualize the steps far better like so:

Note that us only emphasis on force F_1 since the question just asks us to recognize the coordinate direction angle of pressure F_1. Thus, we only attracted the vector materials of pressure F1. No need to draw unnecessary components because that will just make that more an overwhelming for us to visualize the steps.

### F_1=600\left<0.6928i-0.4j+0.6k\right> N

(the indications for i,j, and k deserve to be checked out looking at the diagram. We have the right to see the the j ingredient is in the an adverse direction, thus, we have the right to write it as -j)

### \gamma=\textcos^-1(0.6) =53.1^0

This question deserve to be uncovered in engineering Mechanics: Statics (SI edition), 13th edition, chapter 2, question 2-75.