Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_137

3/137 The system is at rest with the spring unstretched when \(\theta = 0\). The 3-kg particle is then given a slight nudge to the right. (a) If the system comes to momentary rest at \(\theta = 40^\circ\), determine the spring constant \(k\). (b) For the value \(k = 100 \text{ N/m}\), find the speed of the particle when \(\theta = 25^\circ\). Use the value \(b = 0.40 \text{ m}\) throughout and neglect friction.