Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_29

3/29 The spring of constant \( k = 200 \text{ N/m} \) is attached to both the support and the \( 2\text{-kg} \) cylinder, which slides freely on the horizontal guide. If a constant \( 10\text{-N} \) force is applied to the cylinder at time \( t = 0 \) when the spring is undeformed and the system is at rest, determine the velocity of the cylinder when \( x = 40 \text{ mm} \). Also determine the maximum displacement of the cylinder.