Draw graphs and give answers to graphical method an analytical

A. Use graph paper, a ruler and a protractor to find the resultant for the graphical method or ”tail to tip” method. This method is fast and it gives accurate results if you measure and draw accurately.

B. For the analytical method or components method (adding vectors by components method) you will use your calculator. Make sure it is set to degrees for sin, cos, tan-1 calculations to find the resultant. This method gives the exact values of the magnitude and angle of the resultant.

 

Vector addition (Ei the purple vector, F2 the red vector and the black is the resultant R). Please notice the angles, the arrows at the end of the lines, the labels with vectors hats. Flx =200cos 30 = 173 Fly= 200sin30 = 100 F2x = 200cos 120 = -100 F2y = 200sin120= 173 Rx =173-100 = 73 Ry = 100+173-273 R=R-V R,+R,2= 283 0-tan (R,/R.) = tan (273/73) - 750 Resultant (R magnitude and 0 direction) Graphical Forces (N) Analytical F1 - 200 N, 8; =30 F2= 200 N, 02 120 Vector 280 770 283 N 75 addition 1 Fi 200 N, 0, = 20 F2= 100 N, 6; - 80 Vector !! addition 2 Vector addition 3 Fi- 200 N, 6, 0" F2 150 N, 0, = 90 Vector F1 150 N, 0 60 addition 4 F2 300 N, 02 * 180" Fi- 200 N. e330' or 30" below positive x axis F 150 N. 0,= 90' Fa 100 N. 0, = 180 Vector addition 4