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A uniform solid disk of radius R and mass M is free to rotate on a frictionless pivot through a point on its rim. The disk is released from rest in the position shown by a the shaded circle. Find an expression for the moment of inertia of the disk about the axis of rotation. (B) Derive an expression for the angular acceleration 𝛼 the instant the disk is released. (C) Derive an expression for the angular speed of the center of mass when the disk reaches the position indicated by the dashed circle. (D) Derive an expression for the linear speed of the center of mass at the position used in part (B). (E) Derive an expression for the linear speed of the lowest point on the disk in the dashed position.