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There are 2 parts to the resolution of this problem
the static case(before upwards acceleration) and the dynamic case (during the upwards acceleration)
assumption; this is taking place near the surface of the earth in a total vacuum chamber.
since we only care about the forces during the acceleration we add the acceleration due to earths gravity to the imposed acceleration
net A = 9.8 + 2.42 = 12.22m/s2
from bottom to top force in Newtons at each link
F = .094 * 12.2 = 1.1468N
F = 2 * .094 * 12.2 = 2.2936N
F = 3 * .094 * 12.2 = 3.4404N
F = 4 * .094 * 12.2 = 4.5872N
F = 5 * .094 * 12.2 = 5.734N
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