Meriam, Kraige & Bolton — Statics of Particles: Problem 2_123

⚡ Mecademy AIENG정역학 · ch2  Problem Statement 2/123 A space shuttle orbiter is subjected to thrusts from five of the engines of its reaction control system. Four of the thrusts are shown in the figure; the fifth is an 850-N upward thrust at the right rear, symmetric to the 850-N thrust shown on the left rear. Compute the moment of these forces about point G and show that the forces have the same moment about all points. Problem 2/123 1. Analysis of Forces and Coordinates Based on the provided diagram, we define a coordinate system with the origin at the center of gravity . The -axis points forward, the -axis points starboard (right), and the -axis points upward. The system consists of five thrust forces. From the visual evidence and problem statement: Force 1 (): Nose thrust in the starboard direction (). Magnitude . Position . Force 2 (): Nose thrust in the downward direction (). Magnitude . Position . Force 3 (): Tail thrust in the port direction (). Magnitude . Position at the rear centerline, assumed at relative to . Position . Force 4 (): Left rear pod thrust in the upward direction (). Magnitude . Position . Force 5 (): Right rear pod thrust in the upward direction (). Magnitude (symmetric to ). Position . G(0,0,0)xy z F 1 +y1700 N r = 1 18i m F = 1 1700j N F 2 −z1700 N r = 2 18i m F = 2 −1700k N F 3 −y1700 N z=0Gr = 3 −12i m F = 3 −1700j N F 4 +z850 N r = 4 −12i−3.2j+2k m F = 4 850k N F 5 +z850 N F 4 r = 5 −12i+3.2j+2k m F = 5 850k N 2. Calculate the Resultant Force ()