) A gun barrel weight 300 kg and has a recoil spring of
stiffness 250N/mm. The barrel recoils 0.8m on firing.
Determine the (i) Critical recoil velocity of the gun,
(ii) Critical damping coefficient of the dashpot engaged
at the end of the recoil stroke.
= 28.867𝑟𝑎𝑑/𝑠 .
From conservation of energy,
𝑣 = 𝜔𝑥
= 23.09396 𝑚/ 𝑠 .