For Coloumb-damped free vibration, we are considered a massspring system with th

Question

For Coloumb-damped free vibration, we are considered a massspring system with the mass sliding against a dry surface. The below derivations show how the half-cycles of motion determine A2, B2 and so on - but it does not show the actual math for the how they are arrived at.

Please show the necessary calculations for how A2 = u(0) - 3uF was arrived at. Below is the textbook excerpt for reference. Full work gets full points.

motion. The equation governing the motion of the mass from right to left is mu+ku = F (2.4.1) for which the solution is u(t) = At coswnt + B1 sin wnt + UF (2.4.2) where UF = F/k. For motion of the mass from left to right, the governing equation is for which the solution is

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Is this some sort of metadata which was tormentig all of us

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