Part 1: A carriage and passenger together have a mass of 130kg. If the car has a

Question

Part 1: A carriage and passenger together have a mass of 130kg. If the car has a velocity of Va = 6 m/s at point A (apex) and the radius of curvature of the track at this point is pa = 5 m, determine the reaction force the track exerts on the car at this point. Also include a free body diagram of the car at this point

Part 2: Determine the speed of the car (same from part 1) at point B if radius of curvature of the track is pb = 5 m. Calculate the reaction force the track exerts on the car at this point and draw a free body diagram.

Part 3: Determine the speed of the car just as it leaves the track at point C.

Part 4: Determine the horizontal distance, x, the car travels once leaving the track before hitting the ground at D, if theta = 50 degrees.

The Tie-Fighter Experience (pending approval by the IAAPA) is a new rollercoaster at Disney's Hollywood Studios in Orlando. At the climax of the ride passengers travel along the curves and loops shown until their carriage is launched from the track which lands (safely?) on the ground some distance away. The heights of each point above the ground are: ha-25 m, ha- 15 m, and hc-5 m. hA hs he 1

Explanation / Answer

student to remember (eventually) that the normal force of the track against the coaster car is:
(a) = to the (centripetal force(Fc) - weight(mg)) at TOP of track
and
(b) = to the (centripetal force(Fc) + weight(mg)) at BOTTOM of track

In this question we use fact (b) to know that the Normal force = Fc + mg = 5mg
therefore:
Fc = 4mg = mV

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