$20 KN 184 23' (from the origin) REFERENCES: 1. General Physics 1 For Senior High School by Helen E. Caintic, PhD Conceptual Science and Beyond General Physics 1 by Von Anthony G. Torio, M.Sc PWN http://physics.bu.edu/~duffy/semester1/c3_vadd_comp.html https://www.google.com/search?q=45+degrees+east+of+south&source=Imns&bih=608&biw=1366&riz=1C1CHZL enPH764PH765& hi=en-GB&sa=X&ved=2ahUKEwjCpJ691LbrAhUJBpQKHWBWALCQ_AUOAHOECAEQAA Prepared by: Lorena G. Dayrit, MSME USE A SEPARATE SHEET OF PAPER FOR YOUR EVALUATION/ASSESSMENT/PERFORMANCE TASK. DO NOT FORGET TO WRIT YOUR NAME, STRAND, LEVEL, SECTION, DATE OF SUBMISSION AND THE MODULE TITLE & NUMBER Find the resultant force of the following forces using the component method. Draw the final figure. 1. 2 . 4 N 300i IN 10 203 6 2 N BCT LEARNING MODULE # 5 General Physics 1the resultant vector from adding results when the orthogonal components are added with a straight line conn Special attention should be paid to the choice of positive and negative directions; the most common convention is to use the right and up to represent positive and down and left to represent negative. Vector Addition: Component Method Ex. 1. Condition: +x is to the right; -x to the left and +y is up; -y is down Vector A has a length of 3.76 cm and is at an angle of 34.5 . above the positive x-direction. Vector B has a length of 4.53 cm and is at an angle of 34.1. What is the sum (resultant) of the two vectors? Note: The component method of vector addition is the standard way to add vectors. If C = A + B, then Cx = Ax + Bx; Cy = Ay + By 1245 For B: For C: For A: 3x BY B 34.1 B 34.1 A Cy C 34.1 A A Ay 34.5M 34.5 34.5 AX For All BX B By cy C 34.1 A 34.5 Ay CX AX Vector x component y component A = +3.76 cos(34.5) A,. = -3.76 sin(34.5) A Ax = +3.10 cm A. = -2.13 cm B. = -4.53 cos(34.1) By. = +4.53 sin(34.1) B By =-3.75 cm By- = +2.54 cm C Cx = Ax + Bx C. =Ay - By Cx = -0.65 cm Cy. =+4.67 cm1972 C = -0.65 cm + 4.67 cm C2 = CX2 + Cy? C2 = 0.652 + 4.672 C = 4.72 cm Tan e = 4.67/0.65 e = 82.1 Answer: The resultant vector has a magnitude of 4.72 cm at 82.1" above the x-direction. Ex. 2. Three forces act on a point: 3N at 0; 4N at 90, and 5N at 217. What is the net force? Resolve the vectors into their components along the x and y axes. Note: Right (+), Left (-), up (+), Dawn (=), Problems with a las of components are easier to work on when the values are written in table form. magnitude direction x-component y-component first force 3N +3 N ON second force 4 N 90 ON +4 N third force 5 N 217 -4 N -3 N resultant 1.4 N 135 -IN +1N 1.41 N 217: 135 IN the resultant force of the following vectors