Question 10.6: A homogeneous mechanical system consists of a flywheel and c...
A homogeneous mechanical system consists of a flywheel and clutch plate. The flywheel rotates in an inertial frame \Phi with angular speed \omega_f about its axis of symmetry with respect to which its moment of inertia is I_f. The clutch plate, initially at rest in Φ, has coaxial symmetry about which its moment of inertia is I_c, The flat surface of the clutch plate suddenly engages the plane surface of the flywheel and immediately adheres to it without slipping. Ignore frictional and other extraneous loads due to bearings and other attachments. Determine the angular speed of the clutch and flywheel assembly at the moment after engagement.
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