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VIDEO solution: The general equation describing stresses in a rotating disc is given by:σr = σθ σφWhere:σr is the radial stress,σθ is the hoop stress,σφ is the axial stress,r is the local radius,t is the local thickness, andρ is the disc density.Show that the angular velocity for a fully plastic (i.e. yielded throughout the disc radius) rotating solid disc, with no edge loading and with uniform thickness is given by:ω = (Sy * b) / (2 * ρ * t)Where:ω is the angular velocity,Sy is
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The two disks can rotate freely on the horizontal shaft. The torsional stiffness of the spring connecting the disks is k=30  N ·m / rad. Initially, disk A is held stationary while disk B is rotated through two revolutions. Both disks are then released simultaneously. Determine the angular velocity of each disk at the instant when the spring has returned to its undeformed state. The moments of inertia of the disks about the shaft are I̅A=3.12  kg ·m^2 and I̅B=9.36  kg ·m^2. | Numerade
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