A space shuttle orbiter is subjected to thrusts from five of the engines of its

Question

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 710-N thrust at the right rear, symmetric to the 710-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.

M=( )i + ( )j + ( )k) N*m

Diagram/ Picture for the problem is shown below. Thank you!

Chapter 2, Problem 2/139 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 710-N thrust at the right rear, symmetric to the 710-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 3.3 m 3.3 m 420 N 1420 N 710 N 3 1420 N 10 m 19 m Answer: k) N m

Explanation / Answer

r1 = 19i
F1 = -1420j N
M1 = 19*-1420 = -26980k N

r2 = 19i
F2 = -1420k N
M2 = 19*-1420 = -26980j N

r3 = -10i - 3.3j - 3k
F3 = 1420j N
M3 = -14200k + 4260i

r4 = -10i - 3.3j - 3k
F4 = -710k N
M4 = -7100j + 2130i

r5 = -10i + 3.3j - 3k
F5 = -710k N
M5 = -7100j - 2130i

M = M1+M2+M3+M4+M5

=> M = -26980k - 26980j -14200k + 4260i-7100j + 2130i-7100j - 2130i
=> M = 4260i - 41180j - 41180k Nm

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