The gun of a U.S. M60 tank is attached to a spring-mass-dashpot system with
Chapter 2, Problem 7(choose chapter or problem)
The gun of a U.S. M60 tank is attached to a spring-mass-dashpot system with spring-constant 1 00a2 and damping constant 200 a, in their appropriate units. The mass of the gun is 100 kg. Assume that the displacement y(t) of the gun from its rest position after being fired at time t = 0 satisfies the initial-value problem It is desired that one second later, the quantity y2 + (Y')~ be less than .01. How large must a be to guarantee that this is so? (The spring-mass-dashpot mechanism in the M60 tanks supplied by the U.S. to Israel are critically damped, for this situation is preferable in desert warfare where one has to fire again as quickly as possible).
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