Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_119

3/119 The two springs, each of stiffness \( k = 1.2 \text{ kN/m} \), are of equal length and undeformed when \( \theta = 0 \). If the mechanism is released from rest in the position \( \theta = 20^\circ \), determine its angular velocity \( \dot{\theta} \) when \( \theta = 0 \). The mass \( m \) of each sphere is \( 3 \text{ kg} \). Treat the spheres as particles and neglect the masses of the light rods and springs.