Question

Homework Problem H2.B Given: Pre-tensioned cables AB and AD, having tensions of 2T and T, respectively, attached to end A of the L-shaped bracket and exert forces of FAB and FAd, respectively, are on the bracket due to these tensions. Find: a) Determine the vector projection of FAB onto cable AD. b) Determine the vector projection of FAD onto cable AB. c) Determine the angle that exists between cables AD and AB. 25° Use the following parameter value in your analysis: D B O X 2d A -3d

Answer 1

ABdj-2d K dj-2dk NaC2 0-4470.94j - 2TC0.447 C0a) FAB. AB AB 894-C 78j) In A OCA OA= 2d)edj OA = J13 d Suno J1Bd J13d J13 0.906 T FAPH= FAp w 25 Forg 2 -0.906T. 3 013 FDR 0-154T FAph e FADZ FADH S -0.406T 2.2- J13 0.503T FAD FAOx it ADFAD2 -0-154TiD 423T O.503Tk

0.84T-789J) C-o154-TCw423tj-0.DIt) A31T2 Lable AD pojechun j Cm FAB FAB FAP 14-31T (0 T54-T0 423Tj-0.503Tk) T2 C0T-0-6053)+0-T19k)T Fb m cable At b) Poyeehu FAB-FAD FAB 1FAB12 -.31T2 D-84-TC789T) 0-3196 0-64)T

Co Ange betwen AB FAo 2T. T O 135.6g°