Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_179

3/179 All conditions of the previous problem remain the same, except now the applied couple varies with time according to \( M = 2t \), where \( t \) is in seconds and \( M \) is in newton-meters. Determine the angular velocity of the assembly at time \( t = 5 \text{ s} \). Note: The conditions from Problem 3/178 are as follows: The rigid assembly consists of light rods and two \( 1.2\text{-kg} \) spheres and rotates freely about a vertical axis. The assembly is initially at rest. The spheres are treated as particles. From the diagram, the radial distance of each sphere from the axis of rotation is \( 0.4 \text{ m} \).