N8 - Problem Newton was able to predict the period of the...

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Reminders: Exam 2 next Wednesday HW7 corrections next Monday
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N8: Circularly Constrained Motion
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Problem : A toy car of mass m goes around a vertical “loop the loop” of radius R. What is the minimum speed it must have at the bottom in order to avoid falling off the track at the top? Neglect friction, air resistance, and the moment of inertia of the car’s wheels.
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Problem : Suppose the toy car has less velocity at the bottom than required to make it over the top. At what angle does the car lose contact with the track? Neglect friction, air resistance, and the moment of inertia of the car’s wheels.
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Unformatted text preview: Problem : Newton was able to predict the period of the moon’s orbit around the earth using the measured acceleration due to gravity near the surface of the earth, plus the gravitational force law. Note that the gravitational constant G was not measured in Newton’s time. Problem : A car of mass m is traveling with speed v on a banked curve of radius R and angle . What is the frictional force on the car’s tires that is required to keep the car from slipping?...
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