The initial recoil velocity of a (1.4-mathrm{kg}) gun is (2.5 mathrm{~m} / mathrm{s}). Design a recoil mechanism

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The initial recoil velocity of a \(1.4-\mathrm{kg}\) gun is \(2.5 \mathrm{~m} / \mathrm{s}\). Design a recoil mechanism that is critically damped such that the mechanism returns to within \(0.5 \mathrm{~mm}\) of firing within \(0.5 \mathrm{~s}\) after firing.

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