(Solution) - Two uniform 20 kg disks of radius 30 cm are connected by a -(2025 Original AI-Free Solution)

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Two uniform 20-kg disks of radius 30 cm are connected by a short rod of radius 2 cm and mass 1 kg. When the rod is placed on a plane inclined at 30o, such that the disks hang over the sides, the assembly rolls without slipping. Find
(a) The linear acceleration of the system, and
(b) The angular acceleration of the system.
(c) Find the kinetic energy of translation of the system after it has rolled 2 m down the incline starting from rest.
(d) Find the kinetic energy of rotation of the system at the same point.