The barrel and breach of modern artillery weapons (e.g. a Howitzer) are often mo
ID: 1860830 • Letter: T
Question
The barrel and breach of modern artillery weapons (e.g. a Howitzer) are often mounted on springs in order to cushion the recoil when they are fired; The barrel and breach have a mass of 3000kg, and a projectile of mass 40kg is fired at a velocity of 1000m/s. The springs have a pre-load of 0.3m (a) Calculate the required stiffness of the springs (K) so that the maximum movement of the barrel is 0.6m when fired. (b) Some dampers are to be fitted to the mechanism so that when the barrel comes back to the initial position, it does so with a velocity less than 0.1m/s. How much energy will the dampers have to absorb.
The barrel and breach of modern artillery weapons (e.g. a Howitzer) are often mounted on springs in order to cushion the recoil when they are fired; The barrel and breach have a mass of 3000kg, and a projectile of mass 40kg is fired at a velocity of 1000m/s. The springs have a pre-load of 0.3m (a) Calculate the required stiffness of the springs (K) so that the maximum movement of the barrel is 0.6m when fired. (b) Some dampers are to be fitted to the mechanism so that when the barrel comes back to the initial position, it does so with a velocity less than 0.1m/s. How much energy will the dampers have to absorb.Explanation / Answer
a)we know that
(1/2)k x d^2 = (1/2)m x v^2
or k = m x (v/d)^2
where k is spring constant of spring,v = 1000 m/s and d = 0.3 m
b)the energy the dampers have to absorb is
E = (1/2)M x V^2
where M = 3000 kg and V = 0.1 m/s
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