Share
Explore BrainMass

# Solving and modelling 2nd ODE and IVP

Modelling the second order differentail equation describing the displacement of a damped piston/spring and canon system with the following parameters mass of system m = 1500kg, spring constant k = 19500 N/metre, Damping constant B = 9000 N/metre/sec and initial velicity is v(o) = 5 metre/sec. The inital value problem is solved for these conditions and then the time that the cannon first returns to its initial dispacement position and the velocity of the assembly is determined at this time. Finally the time of maximum dispacement of the whole assembly is determined as is the maximum displacement

#### Solution Preview

Modelling the second order differentail equation describing the displacement of a damped piston/spring and canon system with the following parameters mass ...

#### Solution Summary

Modelling the second order differentail equation describing the displacement of a damped piston/spring and canon system with the following parameters mass of system m = 1500kg, spring constant k = 19500 N/metre, Damping constant B = 9000 N/metre/sec and initial velicity is v(o) = 5 metre/sec. The inital value problem is solved for these conditions and then the time that the cannon first returns to its initial dispacement position and the velocity of the assembly is determined at this time. Finally the time of maximum dispacement of the whole assembly is determined as is the maximum displacement.

\$2.19