Question

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Statics - ENG GEN 131 4. For the figure below, determine (a) the force P in cartesian form that keeps the concurrent (act at the same point) force system in equilibrium, i.e. find the resultant force that should balance everything out such that the sum of all the forces are equal to 0. Then (a) calculate the magnitude and direction cosine angles (Q.B.V) of this force P required to keep the concurrent force system in equilibrium. (-1.5 m, 3 m, 3 m) 120 N

Answer 1

R= a( cas ao C+. casso } + Calzo le ) *Fiz (Fêt]-ca) kW h = 0.75* (-ligêt 3ft 3%) * . Vilis 2+(37276312 a f= (-0.25 êto.59 +0.5E) KN : B= (-0.59) KM

assume assone pa laht Bft BE ñ Efoo Pt Fifft fg zo (In TVE - 0.2g) î + (Py +1+3-0.5) 7 +(22 + 3-1) Å to 1. So, Por= 0.25-15 3 [Rma - 1.1642 kN] Sol : 0.25-VE -|-16 4 2 kN IPy = -3.5' Kla (R= -2km ] = (- 1.1642 î -3.5 ŷ - 2E) KN | P1 = √ (2) 27 (83?+ (B12 " (P) = 4,2 kN)

direction casines da cari ( 1 ) ada cast ( - 1162) aQs los.119 a paz com ( - [P= 106.52" and Pa com (r= 18.467"} Similarly - copt B = 146.520 Col Tra 118.4670

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