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A flywheel of mass M, having the shape shown in the figure below, is made of material of uniform thickness and density. Find the radius of gyration of the flywheel about a perpendicular axis through its center in terms of R. With the flywheel standing vertically on the ground, it is projected forward in its own plane with speed v and angular speed ω. The coefficient of kinetic friction between the flywheel and the ground is μ. What should v and ω be so that the flywheel comes to rest a distance d from where it started? The acceleration due to gravity is g.
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