Question

Determine the x,y, and z components of reaction at point D using scalar notation.

Problem 5.69 The rod is supported by ball-and-socket joint D and cables AB, AC Suppose that F = 750 N and x = 6 m. (Figure 1) Express your answer to three significant figures and include the appropriate units. Tac = 1260 N Submit Previous Answers ✓ Correct Part C Determine the x, y, and z components of reaction at support D using scalar notation. Express your answers using three significant figures separated by commas. Figure < 1 of 1 > VALOT vec pe o ? D2, Dy, Dz = 1950,0,20 Submit Previous Answers Request Answer * Incorrect; Try Again; 3 attempts remaining Provide Feedback

Answer 1

The coordinate a point A, B, C are A - (6,0:0) B= (0, -3,2) C- (0.0, 2) Fins fag (hot) - Free - Farf (0-6)i + (-3-0); +(2-0)k] *60-692 +63-0)2 + (2-0)? ] s frases - Foraj + Fane k Face - Fac ( trace Je to Faci + 12 FACK F: 750 (S?30j – cos 30k) [375j – 649.52 KM for Dxi + Dyj +Dz k. ODA = (61m

22m Da fa om 150m From dragoan EF=0. - FABI FAC+Ft Fo =0. Es Fasil. Foet Delitti Frane + Dy + 375)j + (€ Fag + 2. Free +D3 – 649:35 Teo equating ijak - FAR - G fact De= 0. – 0 u fost prima fac + Dz- 649.5220 B moment equation g equila brum EMO TO. NOA [FAB + FAC +F) zo. ot Dec ye

-612 - FAB t 2 FAL -649.52 veo aqueting i and i components -6 ( Fine + 2. Foc- 6u9.5); + 6( Fne +375)K-o. -6 ( ) fog + 2 Foc - 649.5.) = 0 –® 6 t'i fog + 345 )= 0 - 0 By Solving Simultaneous equalson FAB= 875 M FAC = 1263.4 Mb Dx = 1948.55 N Dy=0 Dz -0.