SOLVED:Consider the spring-mass system whose motion is governed by the initial-value problem (d^2 y)/(d t^2)+3 (d y)/(d t)+2 y=0, y(0)=1, (d y)/(d t)(0)=-3 (a) Determine the position of the mass at time t (b) Determine the time when the mass passes through the equilibrium position. (c) Make a sketch depicting the general motion of the system.

Teaching Rigid Body Dynamics, Part 2: Spring-Mass-Damper System Case Study

SOLVED: The base of a spring-mass system, with Coulomb damping, is connected to the slider-crank mechanism shown in Fig. Determine the response of the system for a coefficient of friction between the mass and the surface by approximating the motion as a series of harmonic functions for and. Discuss the limitations of your solution.