The collar has mass M and slides along the smooth rod. Two springs are attached to it and the ends of the rod as shown. If each spring has an uncompressed length L and the collar has speed v₀ when s = 0, determine the maximum compression of each spring due to the back-and-forth (oscillating) motion of the collar.

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Given: M = 20 kg L = 1 m VO = 2 m S a = 0.25 m N KA = 50 m kB = 100 N BIZ m