Consider a car.  The body of the car (excluding the wheels) has a mass 350 kg, while each individual wheel has mass 23 kg and radius 0.33 m.  The wheels can be modeled as solid disks, which have inertia 1/2 M R2.  If the car is moving, body itself translates, whereas the wheels are rolling without slipping.  Calculate the total kinetic energy of the car if it is rolling with speed 24 m/s.

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Consider a car.  The body of the car (excluding the wheels) has a mass 350 kg, while each individual wheel has mass 23 kg and radius 0.33 m.  The wheels can be modeled as solid disks, which have inertia 1/2 M R2.  If the car is moving, body itself translates, whereas the wheels are rolling without slipping.  Calculate the total kinetic energy of the car if it is rolling with speed 24 m/s.

(Please answer to the fourth decimal place - i.e 14.3225)

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