A uniform solid disk is set into rotation with an angular speed vi about an axis through its center. While still rotating at this speed, the disk is placed into contact with a horizontal surface and released as shown in Figure P11.58. (a) What is the angular speed of the disk once pure rolling takes place? (b) Find the fractional loss in kinetic energy from the moment the disk is released until pure rolling occurs. Suggestion: Consider torques about the center of mass.
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