Question

View Policies Current Attempt in Progress 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 fith is an 840-N thrust at the right rear, symmetric to the 840-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. <3.2 m 3.2 m 1680 N 1680 N 840 N lm 1680 N 10 m 23 m Answer: M=( i k) N-m e Textbook and Media

Answer 1

Solution | - write the relation to calculate the moment about G on a space Shuttle - [Mu = Met My & Me ) - (1) here, Moo- moment about 6 Mxo - Moment about x-axis My: Moment about y-axis M₂ : - Moment about z-axis. write the relation for calculating the moment about x-axis :- I Mx = (Fy • a) i Here, a :- the dylante Measwid along Z-axis b/w two 1680N forces acting in the y and - ve y direction. Fys- force acting along ye direction putting values , a=1m, and Fy = 1680N My = (1680x1) I Mx = (16801) N-m/

→ Relation for calculating moment about y-aris :- My = -(Eb)j Here; bit distance measured along x-axis b/w 16800 force acting in the negative z-direction and 840N force in z-direction. E: - the force acting on the space shuttle in z-axis putting values; b=(23+10) m = 33m. r = 1680N My = - (1680 X33) j = -55 440 j) N-m My = -155440) ) N-ml → Relations for calculating Moment about Z-asaj My = -(fy :b) &

putting values, 6=(23 +10) m = 35m. y = 1680N M2 = – (1680 X 33) K M = – (55440k) N-m putting valur, Mx, My and Me in equation (i) M = Mx + My My My = 16801 + (-554403) + (-55440k) | My =( 1680 i _ 55440) - 554404) N-m/ Hence, Moment of the force about the point h is (16801-55440) - 5544 OK) N.m. insider the force system of a space shuttle and Identify the following couples in it :- The two 1680.N forces qeting on the space shuttle culong positive y-and negative y-diverton cruales a couple

About x-axis and Z-axis. The two 840N forces acting in Negative z-direction and a 16800 force acting in positive Z-direction creates a couple about y axis. As the acting on the space shuttle creates a couple forces will have same about x, y, and Z-anis the moment about all points.