Question

1. Based on Problem 12.47 from the text. Suppose a roller coaster descends through a curve in a "vertical plane" (a) Initially the coaster rides along a segment with radius of curvature 30m. The speed of the car is 120 km/hr as it approaches point A. What is the normal force experienced by the rider relative to his or her weight just as it arrives at point A? Equivalently, how many "g's" is this? (b) After leaving point A, the coaster maintains constant speed of 120 km/hr along a flat, horizontal segment. What is the normal force experienced by the rider relative to his or her weight just as it leaves point A? At any other point between A and B? Equivalently, how many "g's" is this? (c) What is the normal force experienced by the rider relative to his or her weight just as it leaves point B? Equivalently, how many "g's" is this? (d) Discuss what the rider feels at the key "transition points". (e) Are the g-levels here within acceptable standards? Explain how you would redesign the roller coaster to give the rider a more gentle or thrilling experience p= 30 m 45 m

Answer 1

v r= 180kmur= 33.33 mis N-mg-mu - N= mgtmr_mlg ty) em (9.81+ 33:33) IN = m(46.83) where mamans y = 4.17 Hoote- 479) 2 Ä EB full y an (a=0) long N-mga ma=0 N=mg = 9.8lm - qN it is same for every point blw manga 1 froste 13 ung-N = ma= me - N= my-me = m(9.7) =m19.81- 33,33%) 20 ie con will loose contact at point B' & then he will feel weightless as N=0) @ At transition point À the force suddenly drops from 4.779 to 1 g so it will feel like a great weight is removed from body. u At point si suddenly force reduces from tog to og e he will feel weightlessness.