A “lifted” truck can become a road hazard since the bumper is high enough to ride up a standard car in the event the car is rear-ended. As a model of this case consider the truck to have a mass M, a mass center G, and a radius of gyration k_G about G. Determine the horizontal and vertical components of acceleration of the mass center G, and the angular acceleration of the truck, at the moment its front wheels at C have just left the ground and its smooth front bumper begins to ride up the back of the stopped car so that point B has a velocity of v_B at angle θ from the horizontal. Assume the wheels are free to roll, and neglect the size of the wheels and the deformation of the material.

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Units Used: Mg = 10 kg 10³ 10³ N KN = 10 N Given: M = 2.70 Mg a = 1.3 m 0 = 20 deg b = 1.6 m KG = 1.45 m c = 1.2 m VB = 8 m S d = 0.4 m