Differential Equations and The - Braun, Martin 7579 · Problem 2.12.Ex4

Introduction to Applied Nonlinear Dynamical Systems and Chaos — Braun, Martin 7579

Mathematics — Calculus · dirac-delta-spring-dashpot

Problem

A particle of mass 1 is attached to a spring dashpot mechanism. The stiffness constant of the spring is 3 N/m and the drag force exerted on the particle by the dashpot mechanism is 4 times its velocity. At time t=0t=0, the particle is stretched 14\frac{1}{4} m from its equilibrium position. At time t=3t=3 seconds, an impulsive force of very short duration is applied to the system. This force imparts an impulse of 2 N⋅\cdots to the particle. Find the displacement of the particle from its equilibrium position.

Related theory

Browse the problem library