The ride at an amusement park consists of a gondola that lifts passengers to position (1) atop the tower at a height of

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The Ride At An Amusement Park Consists Of A Gondola That Lifts Passengers To Position 1 Atop The Tower At A Height Of 1 (51.21 KiB) Viewed 39 times

The ride at an amusement park consists of a gondola that lifts passengers to position (1) atop the tower at a height of y₁=120 feet. With a combined weight of 500 pounds, the passengers and gondola are tilted over the edge and released from rest to fall along the smooth parabolic track shown. Neglect the mass and friction effects of any rollers and catch wheels that keep the gondola on track. When the gondola reaches position (2), the track height is known to be y2-20 feet, with the slope of descent being 2/3 and the radius of curvature of the track is p=156 feet. At this instant, i.e. at position (2): FIND: A) The SPEED (v) of the gondola; B) The NORMAL REACTION FORCE of the tracks on the gondola; C) The rate at which the gondola SPEED IS INCREASING. y y = y₂-20 ft 180 (2) Not to scale Y₁-120 ft X