314 Rotation of a Rigid Object About a Fixed Axis*P10.75(a)As the bicycle frame moves forward at speed v, the center of each wheel moves forward atthe same speed and the wheels turn at angular speed ω=vR. The total kinetic energy of thebicycle isKKK=+transrotorKmmvImmRvR+FHGIKJ+FHGIKJFHGIKJ1222121221222framewheelwheelframewheelwheelbg.This yieldsmv=+=123128443082033561222framewheelkgkgm sJbgbg.....(b)As the block moves forward with speed v, the top of each trunk moves forward at the samespeed and the center of each trunk moves forward at speed v2. The angular speed of eachroller is =vR2. As in part (a), we have one object undergoing pure translation and twoidentical objects rolling without slipping. The total kinetic energy of the system of the stone
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