The roller coaster car has a mass of 700 kg, including its passenger. If it starts from

Chapter 14, Problem 14-72

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The roller coaster car has a mass of 700 kg, including its passenger. If it starts from the top of the hill A with a speed \(v_{A} = 3 \ m/s\), determine the minimum height h of the hill crest so that the car travels around the inside loops without leaving the track. Neglect friction, the mass of the wheels, and the size of the car. What is the normal reaction on the car when the car is at B and when it is at C? Take \(\rho_{B} = 7.5 \ m\) and \(\rho_{C} = 5 \ m\).

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