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Problem_of_the_Week_5_Solution

# Problem_of_the_Week_5_Solution - Problem of the Week 5...

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Problem of the Week 5 - Solution An automobile (and its occupants) of total mass M = 2200 kg, is moving through a curved dip in the road of radius R = 18 m at a constant speed v = 12 m/s. For this analysis, you can neglect air resistance. Consider the automobile (and its occupants) as the system of interest. Calculate the force exerted by the road on the system (car and its occupants). Start from the derivative form of the momentum principle and show all your work. We will use the conventional coordinate system. At the instant shown, the +x direction points to the right and the +y direction points towards the center of the curved dip. Let us first identify all of the forces acting on the system. Force of Earth (gravity) on automobile (and its occupants): <0, -Mg, 0>. Force of road on automobile (tires): <0, F r , 0>. What can we say about the relative magnitude of these two forces? The momentum principle provides some guidance. The momentum principle states that

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Problem_of_the_Week_5_Solution - Problem of the Week 5...

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