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A roller coaster shown below is built in your town. The radius of the circular part is 20 meters. As a physics student, you are invited to take the first ride. You found that the speed of the car at the bottom of the circular motion is 35 m/s. A full load car weighs 5000kg. Assume energy is not dissipated in the process.
(a) Find the normal force on the car due to the track at the bottom of the track.
(b) Find the speed of the car at the top of the circle. (Hint: consider energy)
(c) Find the normal force on the car due to the track at the top of the circle.
(d) What is the minimum height H required for the car to reach the top of the circle? (Assume the car starts with zero velocity at the top of the hill.)
What is the frequency of up and down oscillations of the wheel? Regard wheel as a mass on one end of a spring and regard the body of the car as a fixed support for the other end of the spring.
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A 1500 kg car carrying four 87kg people travels over a rough "washboard" dirt road with corrugations 4.40 m apart which causes the car to bounce on its spring suspension. The car bounces with maximum amplitude while its speed is 19km/h. The car now s..
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